A Morse complex on manifolds with boundary
Geometric Topology
2011-09-12 v2
Abstract
Given a compact smooth manifold with non-empty boundary and a Morse function, a pseudo-gradient Morse-Smale vector field adapted to the boundary allows one to build a Morse complex whose homology is isomorphic to the (absolute or relative to the boundary) homology of with integer coefficients. Our approach simplifies other methods which have been discussed in more specific geometric settings.
Cite
@article{arxiv.1003.5077,
title = {A Morse complex on manifolds with boundary},
author = {Francois Laudenbach},
journal= {arXiv preprint arXiv:1003.5077},
year = {2011}
}