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On Moduli Spaces and CW Structures Arising from Morse Theory On Hilbert ManifoldsDec 16 2010This paper proves some results on negative gradient dynamics of Morse functions on Hilbert manifolds. It contains the compactness of flow lines, manifold structures of certain compacti- fied moduli spaces, orientation formulas, and CW structures of the ... More
Open-closed strings: Two-dimensional extended TQFTs and Frobenius algebrasOct 31 2005Jan 06 2008We study a special sort of 2-dimensional extended Topological Quantum Field Theories (TQFTs) which we call open-closed TQFTs. These are defined on open-closed cobordisms by which we mean smooth compact oriented 2-manifolds with corners that have a particular ... More