On Moduli Spaces and CW Structures Arising from Morse Theory On Hilbert Manifolds

Details On Moduli Spaces and CW Structures Arising from Morse Theory On Hilbert Manifolds On Moduli Spaces and CW Structures Arising from Morse Theory On Hilbert Manifolds

2010-12-16

arxiv.org/abs/1012.3643v1

Mathematics

Geometric Topology

To appear in the Journal of Topology and Analysis

Scientific paper

This 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 underlying manifolds.

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