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

Abstract

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.

To appear in the Journal of Topology and Analysis

References in corpus (1)

• On the topology and analysis of a closed one form. I (Novikov's theory revisited)

Cited by in corpus (2)

• Counting maximally broken Morse trajectories on aspherical manifolds
• Morse homology with DG coefficients