English

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

Geometric Topology 2023-10-09 v1

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.

Keywords

Cite

@article{arxiv.1012.3643,
  title  = {On Moduli Spaces and CW Structures Arising from Morse Theory On Hilbert Manifolds},
  author = {Lizhen Qin},
  journal= {arXiv preprint arXiv:1012.3643},
  year   = {2023}
}

Comments

To appear in the Journal of Topology and Analysis