English

Morse homology on noncompact manifolds

Symplectic Geometry 2009-11-11 v1

Abstract

Given a Morse function on a manifold whose moduli spaces of gradient flow lines for each action window are compact up to breaking one gets a bidirect system of chain complexes. There are different possibilities to take limits of such a bidirect system. We discuss in this note the relation between these different limits.

Keywords

Cite

@article{arxiv.0911.1805,
  title  = {Morse homology on noncompact manifolds},
  author = {Kai Cieliebak and Urs Frauenfelder},
  journal= {arXiv preprint arXiv:0911.1805},
  year   = {2009}
}

Comments

26 pages