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Results for "Krishna Coimbatore Balram"

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Microwave-to-optical transduction using coupled piezoelectric and optomechanical resonatorsJul 10 2019The successes of superconducting quantum circuits at local manipulation of quantum information and photonics technology at long-distance transmission of the same have spurred interest in the development of quantum transducers for efficient, low-noise, ... More
Dynamics on AdS2 and Enlargement of SL(2,R) to c=1 `cut-off Virasoro Algebra'Apr 17 2001We consider the enhancement of SL(2,R) to Virasoro algebra in a system of N particles on AdS2. We restrict our discussion to the case of non-interacting particles, and argue that they must be treated as fermions. We find operators L_n whose commutators ... More
Interacting composite fermions: Nature of the 4/5, 5/7, 6/7, and 6/17 fractional quantum Hall statesJul 02 2016Oct 13 2016Numerical studies by W\'ojs, Yi and Quinn have suggested that an unconventional fractional quantum Hall effect is plausible at filling factors $\nu=$ 1/3 and 1/5, provided the interparticle interaction has an unusual form for which the energy of two fermions ... More
High-frequency, resonant acousto-optic modulators fabricated in a MEMS foundry platformApr 09 2019We report the design and characterization of high frequency, resonant acousto-optic modulators (AOM) in a MEMS foundry process. The doubly-resonant cavity design allows us to measure acousto-optic modulation at frequencies up to 3.5 GHz with high modulation ... More
beta phase manganese dioxide nanorods Synthesis and characterization for supercapacitor applicationsOct 03 2015Manganese dioxide nanorods were synthesized using novel solution route. The phase and microstructure of synthesized materials were identified using X ray diffraction, scanning electron and transmission electron microscopic measurements. The material crystallizes ... More
The nature of composite fermions and the role of particle hole symmetry: A microscopic accountApr 13 2016Jun 28 2016Motivated by the issue of particle-hole symmetry for the composite fermion Fermi sea at the half filled Landau level, Dam T. Son has made an intriguing proposal [Phys. Rev. X {\bf 5}, 031027 (2015)] that composite fermions are Dirac particles. We ask ... More
Tuning and Stabilization of Optomechanical Crystal Cavities Through NEMS IntegrationJun 25 2018Nanobeam optomechanical crystals, in which localized GHz frequency mechanical modes are coupled to wavelength-scale optical modes, are being employed in a variety of experiments across different material platforms. Here, we demonstrate the electrostatic ... More
Coherent coupling between radio frequency, optical, and acoustic waves in piezo-optomechanical circuitsAug 06 2015The interaction of optical and mechanical modes in nanoscale optomechanical systems has been widely studied for applications ranging from sensing to quantum information science. Here, we develop a platform for cavity optomechanical circuits in which localized ... More
Some Koszul Rings from GeometryMay 23 2009Jun 23 2009We give examples of Koszul rings that arise naturally in algebraic geometry. In the first part, we prove a general result on Koszul property associated to an ample line bundle on a projective variety. Specifically, we show how Koszul property of multiples ... More
How to Find the QCD Critical PointMar 31 1999The event-by-event fluctuations in heavy ion collisions carry information about the thermodynamic properties of the hadronic system at the time of freeze-out. By studying these fluctuations as a function of varying control parameters, such as the collision ... More
QCD at Finite Baryon Density: Chiral Symmetry Restoration and Color SuperconductivityMar 13 1998We use a variational procedure to study finite density QCD in an approximation in which the interaction between quarks is modelled by that induced by instantons. We find that uniform states with conventional chiral symmetry breaking have negative pressure ... More
N= 4 Supersymmetric Quantum Mechanical Model: Novel SymmetriesJun 19 2016We discuss a set of novel discrete symmetry transformations of the N = 4 supersymmetric quantum mechanical model of a charged particle moving on a sphere in the background of Dirac magnetic monopole. The usual five continuous symmetries (and their conserved ... More
On torsion in the 0-cycle group with modulusJul 06 2016We show for a smooth projective variety $X$ over an algebraically closed field $k$ with an effective Cartier divisor $D$ that the torsion subgroup $\CH_0(X|D)\{l\}$ can be described in terms of a relative {\'e}tale cohomology for any prime $l \neq p = ... More
On 0-cycles with modulusApr 13 2015Nov 16 2015Given a smooth surface $X$ over a field and an effective Cartier divisor $D$, we provide an exact sequence connecting $CH_0(X,D)$ and the relative $K$-group $K_0(X,D)$. We use this exact sequence to answer a question of Kerz and Saito whenever $X$ is ... More
Representation Variety of Fuchsian Groups in SO(p,q)Nov 11 2014Oct 14 2015We estimate the dimension of the variety of homomorphisms from $\Gamma$ to $ SO(p,q)$ with Zariski dense image, where $\Gamma$ is a Fuchsian group, and $SO(p,q)$ is the indefinite special orthogonal group with signature $(p,q)$.
On The Negative K-Theory of Schemes in Finite CharacteristicNov 03 2008We study the negative $K$-theory of singular varieties over a field of positive characteristic and in particular, prove the vanishing of $K_i(X)$ for $i < -d-2$ for a $k$-variety of dimension $d$.
Completions of Higher Equivariant K-theoryJun 15 2009The goal of this paper is to prove a version of the non-abelian localization theorem for the rational equivariant K-theory of a smooth variety $X$ with the action of a linear algebraic group $G$. We then use this to prove a Riemann-Roch theorem which ... More
Continuity of integrated density of states -- independent randomnessSep 14 2006Sep 19 2006In this paper we discuss the continuity properties of the integrated density of states for random models based on that of the single site distribution. Our results are valid for models with independent randomness with arbitrary free parts. In particular ... More
0-cycles on singular schemes and class field theoryFeb 05 2015We show that the Chow group of 0-cycles on a singular projective scheme $X$ over a finite field describes the abelian extensions of its function field which are unramified over the regular locus of $X$. As a consequence, we obtain the Bloch-Quillen formula ... More
Equivariant cobordism of schemesJun 16 2010Oct 25 2010We study the equivariant cobordism theory of schemes for action of linear algebraic groups. We compare the equivariant cobordism theory for the action of a linear algebraic groups with similar groups for the action of tori and deduce some consequences ... More
A cdh approach to zero-cycles on singular varietiesMar 01 2010We study the Chow group of zero-cycles on singular varieties using the cdh topology. We define the cdh versions of the zero-cycles and albanese maps. We prove results comparing these groups for a singular variety with the similar groups on the resolution ... More
Equivariant Cobordism for Torus ActionsOct 29 2010We study the equivariant cobordism theory of schemes for torus actions. We give the explicit relation between the equivariant and the ordinary cobordism of schemes with torus action. We deduce analogous results for action of arbitrary connected linear ... More
State Counting for Excited Bands of the Fractional Quantum Hall Effect: Exclusion Rules for Bound ExcitonsJul 04 2013Nov 28 2013Exact diagonalization studies have revealed that the energy spectrum of interacting electrons in the lowest Landau level splits, non-perturbatively, into bands, which is responsible for the fascinating phenomenology of this system. The theory of nearly ... More
Spontaneous polarization of composite fermions in the $n=1$ Landau level of grapheneJul 06 2015Feb 17 2018Motivated by recent experiments that reveal expansive fractional quantum Hall states in the $n=1$ graphene Landau level and suggest a nontrivial role of the spin degree of freedom [Amet {\em et al.}, Nat. Common. {\bf 6}, 5838 (2014)], we perform accurate ... More
Phase Diagram of Fractional Quantum Hall Effect of Composite Fermions in Multi-Component SystemsOct 27 2014While the integer quantum Hall effect of composite fermions manifests as the prominent fractional quantum Hall effect (FQHE) of electrons, the FQHE of composite fermions produces further, more delicate states, arising from a weak residual interaction ... More
The Phases of QCD in Heavy Ion Collisions and Compact StarsSep 05 2000Sep 14 2000I review arguments for the existence of a critical point in the QCD phase diagram as a function of temperature and baryon chemical potential. I describe how heavy ion collision experiments at the SPS and RHIC can discover the tell-tale signatures of such ... More
Traversing the QCD Phase Transition: Quenching Out of Equilibrium vs. Slowing Out of Equilibrium vs. Bubbling Out of EquilibriumMay 11 2000May 15 2000I review arguments for the existence of a critical point E in the QCD phase diagram as a function of temperature T and baryon chemical potential \mu. I describe how heavy ion collision experiments at the SPS and RHIC can discover the tell-tale signatures ... More
Crystalline Color SuperconductivitySep 14 2001We give an introduction crystalline color superconductivity, arguing that it is likely to occur wherever quark matter in which color-flavor locking does not occur is found. We survey the properties of this form of quark matter, and argue that its presence ... More
Collision Induced Decays of Electroweak Solitons: Fermion Number Violation with Two Initial ParticlesAug 23 1996This paper presents work done in collaboration with E. Farhi, J. Goldstone, and A. Lue which is described in full in Ref. [1]. We consider a variant of the standard electroweak theory in which the Higgs sector has been modified so that there is a classically ... More
Emergence of long wavelength pion oscillations following a rapid QCD phase transitionAug 28 1993To model the dynamics of the chiral order parameter in a far from equilibrium QCD phase transition, we consider quenching in the O(4) linear sigma model. We summarize arguments and numerical evidence which show that in the period immediately following ... More
Seshadri constants on surfaces with Picard number 1Aug 16 2016Let $X$ be a smooth projective surface with Picard number 1. Let $L$ be the ample generator of the N\'eron-Severi group of $X$. Given an integer $r\ge 2$, we prove lower bounds for the Seshadri constant of $L$ at $r$ general points in $X$.
N= 4 Supersymmetric Quantum Mechanical Model: Novel SymmetriesJun 19 2016Mar 03 2017We discuss a set of novel discrete symmetry transformations of the N = 4 supersymmetric quantum mechanical model of a charged particle moving on a sphere in the background of Dirac magnetic monopole. The usual five continuous symmetries (and their conserved ... More
Taut Foliations, Positive 3-Braids, and the L-Space ConjectureSep 11 2018We construct taut foliations in every closed 3-manifold obtained by $r$-framed Dehn surgery along a positive 3-braid knot $K$ in $S^3$, where $r < 2g(K)-1$ and $g(K)$ denotes the Seifert genus of $K$. This confirms a prediction of the L-space Conjecture. ... More
On K_2 of 1-dimensional local ringsFeb 12 2004We study K_2 of one-dimensional local domains over a field of characteristic 0, introduce a conjecture, and show that this conjecture implies Geller's conjecture. We also show that Berger's conjecture implies Geller's conjecture, and hence verify it in ... More
Positivity of line bundles on general blow ups of $\mathbb{P}^2$Jul 23 2015Oct 19 2016Let $X$ be the blow up of $\mathbb{P}^2$ at $r$ general points $p_1,\ldots,p_r \in \mathbb{P}^2$. We study line bundles on $X$ given by plane curves of degree $d$ passing through $p_i$ with multiplicity $m_i$. We establish conditions for ampleness, very ... More
Limit Set Intersection Theorem for Graph of Relatively Hyperbolic GroupsDec 13 2018Dec 14 2018Let $G$ be a relatively hyperbolic group that admits a decomposition into a finite graph of relatively hyperbolic groups structure with quasi-isomterically (qi) embedded condition. We prove that the set of conjugates of all the vertex and edge groups ... More
Riemann-Roch For Equivariant K-TheoryJun 09 2009The goal of this paper is to prove the Riemann-Roch isomorphism for the higher equivariant K-theory of varieties with action of a linear algebraic group.
Cobordism of flag bundlesJul 07 2010Let $G$ be a connected linear algebraic group over a field $k$ of characteristic zero. For a principal $G$-bundle $\pi: E \to X$ over a scheme $X$ of finite type over $k$ and a parabolic subgroup $P$ of $G$, we describe the rational algebraic cobordism ... More
Fractional Quantum Hall Effect in Graphene: Quantitative Comparison between Theory and ExperimentAug 07 2015May 24 2016The observation of extensive fractional quantum Hall states in graphene brings out the possibility of more accurate quantitative comparisons between theory and experiment than previously possible, because of the negligibility of finite width corrections. ... More
Luttinger theorem for the strongly correlated Fermi liquid of composite fermionsJun 09 2015Oct 30 2015While an ordinary Fermi sea is perturbatively robust to interactions, the paradigmatic composite-fermion (CF) Fermi sea arises as a non-perturbative consequence of emergent gauge fields in a system where there was no Fermi sea to begin with. A mean-field ... More
Equivariant K-theory and Higher Chow Groups of Smooth VarietiesJun 17 2009For a quasi-projective variety $X$ over a field, with the action of a split torus, we construct a spectral sequence relating the equivariant and the ordinary higher Chow groups. We then completely describe the equivariant higher Chow groups of smooth ... More
The Chiral Phase Transition in QCD: Critical Phenomena and Long Wavelength Pion OscillationsApr 16 1995May 07 1995In QCD with two massless quarks, the chiral phase transition is plausibly in the same universality class as the classical O(4) magnet. To test this hypothesis, critical exponents characterizing the behaviour of universal quantities near the 2nd order ... More
Mapping the QCD Phase DiagramAug 15 1999I review recent theoretical developments which show how a key qualitative feature of the QCD phase diagram, namely a critical point which in a sense defines the landscape which heavy ion collision experiments are seeking to map, can be discovered. The ... More
Positivity of line bundles on special blow ups of $\mathbb{P}^2$Aug 19 2016Sep 27 2016Let $C \subset \mathbb{P}^2$ be an irreducible and reduced curve of degree $e > 0$. Let $X$ be the blow up of $\mathbb{P}^2$ at $r$ distinct points $p_1,\ldots,p_r \in C$. We study line bundles on $X$ and establish conditions for ampleness and $k$-very ... More
Representation Variety of Surface GroupsFeb 20 2017Apr 18 2017We give an exact formula for the dimension of the variety of homomorphisms from $S_g$ to $\mathit{any}$ semisimple real algebraic group, where $S_g$ is a surface group of genus $g \geq 2$.
Torsion elements of the Nottingham group of order $p^2$ and type $\langle 2, m \rangle$Oct 25 2017Apr 17 2018We classify torsion elements of order $p^2$ and type $\langle 2, m \rangle$ in the Nottingham group defined over a prime field of characteristic $p >0$.
Inner Cohomology of the General Linear GroupAug 07 2017Feb 20 2018The main theorem is incorrectly stated.
Inner cohomology of $GL_n$Feb 20 2018Feb 22 2018We give an explicit description of the inner cohomology of an adelic locally symmetric space of a given level structure attached to the general linear group of prime rank $n$, with coefficients in a locally constant sheaf of complex vector spaces. We ... More
The motivic cobordism for group actionsJun 26 2012For a linear algebraic group $G$ over a field $k$, we define an equivariant version of the Voevodsky's motivic cobordism $MGL$. We show that this is an oriented cohomology theory with localization sequence on the category of smooth $G$-schemes and there ... More
Murthy's conjecture on 0-cyclesNov 13 2015Mar 18 2019We show that the Levine-Weibel Chow group of 0-cycles $\CH^d(A)$ of a reduced affine algebra $A$ of dimension $d \ge 2$ over an algebraically closed field is torsion-free. Among several applications, it implies an affirmative solution to an old conjecture ... More
Positivity of line bundles on general blow ups of $\mathbb{P}^2$Jul 23 2015Nov 19 2015Let $X$ be the blow up of $\mathbb{P}^2$ at $r$ general points $p_1,\ldots,p_r \in \mathbb{P}^2$. We study line bundles on $X$ given by plane curves of degree $d$ passing through $p_i$ with multiplicity $m_i$. We establish conditions for ampleness, very ... More
Perspectives on the mathematics of biological patterning and morphogenesisOct 08 2016A central question in developmental biology is how size and position are determined. The genetic code carries instructions on how to control these properties in order to regulate the pattern and morphology of structures in the developing organism. Transcription ... More
Disorienting the Chiral Condensate at the QCD Phase TransitionMar 06 1997I sketch how long wavelength modes of the pion field can be amplified during the QCD phase transition. If nature had been kinder, and had made the pion mass significantly less than the critical temperature for the transition, then this phenomenon would ... More
Zero cycles on affine varietiesNov 13 2015We show that the Chow group of 0-cycles of an affine algebra of dimension at least two over an algebraically closed field is torsion-free. As consequences, we affirmatively answer a question of Murthy and derive several other applications.
Murthy's conjecture on 0-cyclesNov 13 2015Mar 22 2018We show that the Levine-Weibel Chow group of 0-cycles $\CH^d(A)$ of a reduced affine algebra $A$ of dimension $d \ge 2$ over an algebraically closed field is torsion-free. Among several applications, it implies an affirmative solution to an old conjecture ... More
JSON Web Token (JWT) based client authentication in Message Queuing Telemetry Transport (MQTT)Mar 07 2019This paper is an overview of JSON Web Token (JWT) and Transport Layer Security (TLS) as two primary approaches for authentication of the things on the Internet. JSON Web Token (JWT) is used extensively today for authorization and authentication within ... More
AC spectrum for a class of random operators at small disorderJul 11 2011In this paper we present a class of Anderson type operators with independent, non-stationary (non-decaying) random potentials supported on a subset of positive density in the odd-dimensional lattice and prove the existence of pure absolutely continuous ... More
Gersten Conjecture For Equivariant K-theory And ApplicationsJun 22 2009For a reductive group scheme over a regular semi-local ring, we prove an equivarinat version of the Gersten conjecture. We draw some interesting consequences for the representation rings of such reductive group schemes. We also prove the rigidity for ... More
Positivity of line bundles on special blow ups of $\mathbb{P}^2$Aug 19 2016Jan 06 2017Let $C \subset \mathbb{P}^2$ be an irreducible and reduced curve of degree $e > 0$. Let $X$ be the blow up of $\mathbb{P}^2$ at $r$ distinct smooth points $p_1,\ldots,p_r \in C$. We study line bundles on $X$ and establish conditions for ampleness and ... More
Completion theorem for equivariant $K$-theoryJan 27 2012Nov 16 2015In this paper, we study the algebraic analogue of the topological Atiyah-Segal completion theorem. We verify this completion theorem for the algebraic equivariant $K$-theory of smooth projective schemes. We also show that the completion theorem fails ... More
Equivariant K-theory and Higher Chow Groups of SchemesJun 17 2009Nov 30 2016For a smooth quasi-projective scheme $X$ over a field $k$ with an action of a reductive group, we establish a spectral sequence connecting the equivariant and the ordinary higher Chow groups of $X$. For $X$ smooth and projective, we show that this spectral ... More
Torsion in the 0-cycle group with modulusJul 06 2016Feb 16 2018We show, for a smooth projective variety $X$ over an algebraically closed field $k$ with an effective Cartier divisor $D$, that the torsion subgroup $\CH_0(X|D)\{l\}$ can be described in terms of a relative {\'e}tale cohomology for any prime $l \neq p ... More
An Artin-Rees Theorem and applications to zero cyclesApr 10 2008We prove an Artin-Rees type theorem for algebraic cycles and give an application to zero cycles.
The QCD Tricritical Point: Beyond Monotony in Heavy Ion PhysicsAug 18 1998I first sketch recent developments concerning the phase diagram of strongly interacting matter as a function of temperature and baryon density, obtained using a model for two-flavor QCD in which the interaction between quarks is modelled on that induced ... More
Three-Flavor QCD at High Density: Color Flavor Locking and Chiral Symmetry BreakingJul 09 1998We propose a symmetry breaking scheme for QCD with three massless quarks at high baryon density wherein the color and flavor SU(3)_{color}xSU(3)_{L}xSU(3)_{R} symmetries are broken down to the diagonal subgroup SU(3)_{color+L+R} by the formation of a ... More
Toroidalization of Locally Toroidal Morphisms from N-folds to SurfacesMar 28 2008Jul 14 2008The toroidalization conjecture of D. Abramovich, K. Karu, K. Matsuki, and J. Wlodarczyk asks whether any given morphism of nonsingular varieties over an algebraically closed field of characteristic zero can be modified into a toroidal morphism. Following ... More
Absolutely continuous spectrum and spectral transition for some continuous random operatorsFeb 21 2011In this paper we consider two classes of random Hamiltonians on $L^2(\RR^d)$ one that imitates the lattice case and the other a Schr\"odinger operator with non-decaying, non-sparse potential both of which exhibit a.c. spectrum. In the former case we also ... More
Formation and Destruction of Autocatalytic Sets in an Evolving Network ModelMar 28 2004I analyse a model of an evolving network represented as a directed graph; each node corresponds to one molecular species and the links to catalytic interactions between species. Over short timescales the graph remains fixed while relative populations ... More
The Shapley Value of Digraph GamesJan 06 2017Jun 07 2017In this paper the Shapley value of digraph (directed graph) games are considered. Digraph games are transferable utility (TU) games with limited cooperation among players, where players are represented by nodes. A restrictive relation between two adjacent ... More
Seshadri constants on surfaces with Picard number 1Aug 16 2016Oct 19 2016Let $X$ be a smooth projective surface with Picard number 1. Let $L$ be the ample generator of the N\'eron-Severi group of $X$. Given an integer $r\ge 2$, we prove lower bounds for the Seshadri constant of $L$ at $r$ general points in $X$.
Extension of $ν$MSM model and possible explanations of recent astronomical and collider observationsDec 21 2015Here I present the extension to ${\nu}$MSM model by adding a $U(1)'$ gauge symmetry under which right-handed fermions including sterile neutrinos and exotic Higgs scalar are charged. This model explains 3.5 keV line observed by XMM-Newton telescope as ... More
Fractionally charged skyrmions in fractional quantum Hall effectJun 16 2014Nov 27 2015The fractional quantum Hall effect has inspired searches for exotic emergent topological particles, such as fractionally charged excitations, composite fermions, abelian and nonabelian anyons and Majorana fermions. Fractionally charged skyrmions, which ... More
The reduced classical car-following model: stability analyses and design guidelinesJul 29 2016Aug 01 2016Reaction delays play an important role in determining the qualitative dynamical properties of a platoon of vehicles driving on a straight road. In this paper, we investigate the impact of delayed feedback on the dynamics of a recently-proposed car-following ... More
Stability, convergence and Hopf bifurcation analyses of the classical car-following modelJul 29 2016Mar 29 2018Reaction delays play an important role in determining the qualitative dynamical properties of a platoon of vehicles traversing a straight road. In this paper, we investigate the impact of delayed feedback on the dynamics of the Classical Car-Following ... More
A unified approach to the integrals of Mellin--Barnes--Hecke typeAug 30 2012In this paper we provide a unified approach to a family of integrals of Mellin--Barnes type using distribution theory and Fourier transforms. Interesting features arise in many of the cases which call for the application of pull-backs of distributions ... More
Enforced Electrical Neutrality of the Color-Flavor Locked PhaseDec 05 2000Aug 22 2008We demonstrate that quark matter in the color-flavor locked phase of QCD is rigorously electrically neutral, despite the unequal quark masses, and even in the presence of an electron chemical potential. As long as the strange quark mass and the electron ... More
Palindromic widths of some free constructionsDec 05 2016In this paper, we consider the palindromic widths in HNN extensions of groups and the amalgamated free products of groups. We show that the palindromic width is infinite in both the cases.
The slice spectral sequence for singular schemes and applicationsJun 18 2016Aug 17 2016We examine the slice spectral sequence for the cohomology of singular schemes with respect to various motivic T-spectra, especially the motivic cobordism spectrum. When the base field k admits resolution of singularities and X is a scheme of finite type ... More
Free groups, covering spaces and Artin's theoremApr 13 2019May 05 2019In this expository note we provide a proof of Artin's theorem which states that the commutator subgroup of a free group on two generators is not finitely generated. The proof employs the infinite grid as in two other proofs in the literature mentioned ... More
New Architecture for Dynamic Spectrum Allocation in Cognitive Heterogeneous Network using Self Organizing MapDec 18 2016This paper introduces the Hybrid Architecture of Dynamic Spectrum Allocation in the hierarchical network combining centralized and distributed architecture to get optimum allocation of radio resources. It can limit the interference by interacting dynamically ... More
Normality of the Ehrenfeucht-Mycielski SequenceOct 03 2017We study the binary Ehrenfeucht Mycielski sequence seeking a balance between the number of occurrences of different binary strings. There have been numerous attempts to prove the balance conjecture of the sequence, which roughly states that 1 and 0 occur ... More
Multiple Signal Classification Algorithm for super-resolution fluorescence microscopyNov 28 2016Dec 11 2016Super-resolution microscopy is providing unprecedented insights into biology by resolving details much below the diffraction limit. State-of-the-art Single Molecule Localization Microscopy (SMLM) techniques for super-resolution are restricted by long ... More
Cross-View Image Synthesis using Conditional GANsMar 09 2018Mar 29 2018Learning to generate natural scenes has always been a challenging task in computer vision. It is even more painstaking when the generation is conditioned on images with drastically different views. This is mainly because understanding, corresponding, ... More
Augmented Superfield Approach to Gauge-invariant Massive 2-Form TheoryMay 01 2017Jun 09 2017We discuss the complete sets of the off-shell nilpotent (i.e. s^2_{(a)b} = 0) and absolutely anticommuting (i.e. s_b s_{ab} + s_{ab} s_b = 0) Becchi-Rouet-Stora-Tyutin (BRST) (s_b) and anti-BRST (s_{ab}) symmetries for the (3+1)-dimensional (4D) gauge-invariant ... More
The slice spectral sequence for singular schemes and applicationsJun 18 2016Jun 01 2018We examine the slice spectral sequence for the cohomology of singular schemes with respect to various motivic T-spectra, especially the motivic cobordism spectrum. When the base field k admits resolution of singularities and X is a scheme of finite type ... More
Towards automating the generation of derivative nouns in Sanskrit by simulating PaniniDec 17 2015Dec 22 2015About 1115 rules in Astadhyayi from A.4.1.76 to A.5.4.160 deal with generation of derivative nouns, making it one of the largest topical sections in Astadhyayi, called as the Taddhita section owing to the head rule A.4.1.76. This section is a systematic ... More
Bridging the Domain Gap for Ground-to-Aerial Image MatchingApr 24 2019The visual entities in cross-view images exhibit drastic domain changes due to the difference in viewpoints each set of images is captured from. Existing state-of-the-art methods address the problem by learning view-invariant descriptors for the images. ... More
Single point Seshadri constants on rational surfacesJun 06 2017Dec 15 2017Motivated by a similar result of Dumnicki, K\"uronya, Maclean and Szemberg under a slightly stronger hypothesis, we exhibit irrational single-point Seshadri constants on a rational surface $X$ obtained by blowing up very general points of $\mathbb{P}^2_\mathbb{C}$, ... More
The Exterior Derivative - A direct approachAug 29 2018In this note we provide a direct approach to the most basic operator in this theory namely the exterior derivative. The crucial ingredient is a calculus lemma based on determinants. We maintain the view that in a first course at least this direct approach ... More
Role of uniform horizontal magnetic field on convective flowJan 26 2013The effect of uniform magnetic field applied along a fixed horizontal direction in Rayleigh-B\'enard convection in low-Prandtl-number fluids has been studied using a low dimensional model. The model shows the onset of convection (primary instability) ... More
Algebraic cobordism theory attached to algebraic equivalenceMar 25 2012Sep 07 2012Based on the algebraic cobordism theory of Levine and Morel, we develop a theory of algebraic cobordism modulo algebraic equivalence. We prove that this theory can reproduce Chow groups modulo algebraic equivalence and the semi-topological $K_0$-groups. ... More
Immersed cycles and the JSJ decompositionNov 12 2018We present an algorithm to construct the JSJ decomposition of hyperbolic fundamental groups of a class of nonpositively curved square complexes. Our algorithm runs in double exponential time, and is the first algorithm on JSJ decompositions to have an ... More
An ampleness criterion for line bundles on abelian varietiesApr 19 2019Let $A$ be an abelian variety defined over an algebraically closed field. We first show that a line bundle $L$ on $A$ is ample if its restriction to every curve in $A$ is ample. Using it we give a sufficient condition for a vector bundle on $A$ to be ... More
Atiyah-Segal theorem for Deligne-Mumford stacks and applicationsJan 18 2017Jan 30 2017We prove an Atiyah-Segal correspondence for the algebraic K-theory of quotient Deligne-Mumford stacks over the field of complex numbers. As applications, we give an explicit isomorphism between the algebraic $K$-theory and higher Chow groups of such stacks ... More
A module structure and a vanishing theorem for cycles with modulusDec 23 2014May 11 2016We show that the higher Chow groups with modulus of Binda-Kerz-Saito for a smooth quasi-projective scheme $X$ is a module over the Chow ring of $X$. From this, we deduce certain pull-backs, the projective bundle formula, and the blow-up formula for higher ... More
Semi-topologization in motivic homotopy theory and applicationsFeb 09 2013Oct 11 2014We study the semi-topologization functor of Friedlander-Walker from the perspective of motivic homotopy theory. We construct a triangulated endo-functor on the stable motivic homotopy category $\mathcal{SH}(\C)$, which we call \emph{homotopy semi-topologization}. ... More
Additive Chow groups of schemesFeb 06 2007We show how to make the additive Chow groups of Bloch-Esnault, Ruelling and Park into a graded module for Bloch's higher Chow groups, in the case of a smooth projective variety over a field. This yields a a projective bundle formula as well as a blow-up ... More
The Modified Optimal Velocity Model: Stability Analyses and Design GuidelinesJun 29 2017Jul 20 2017Reaction delays are important in determining the qualitative dynamical properties of a platoon of vehicles traveling on a straight road. In this paper, we investigate the impact of delayed feedback on the dynamics of the Modified Optimal Velocity Model ... More
Impact of delayed acceleration feedback on the classical car-following modelMay 24 2018Delayed feedback plays a vital role in determining the qualitative dynamical properties of a platoon of vehicles driving on a straight road. Motivated by the positive impact of Delayed Acceleration Feedback (DAF) in various scenarios, in this paper, we ... More
Prediction of a non-Abelian fractional quantum Hall state with $f$-wave pairing of composite fermions in wide quantum wellsApr 15 2019We theoretically investigate the nature of the state at quarter filled lowest Landau level and predict that, as the quantum well width is increased, a transition occurs from the composite fermion Fermi sea into a novel non-Abelian fractional quantum Hall ... More