Equivalences for Morse homology
Geometric Topology
2007-05-23 v1 Symplectic Geometry
Abstract
An explicit isomorphism between Morse homology and singular homology is constructed via the technique of pseudo-cycles. Given a Morse cycle as a formal sum of critical points of a Morse function, the unstable manifolds for the negative gradient flow are compactified in a suitable way, such that gluing them appropriately leads to a pseudo-cycle and a well-defined integral homology class in singular homology.
Keywords
Cite
@article{arxiv.math/9905152,
title = {Equivalences for Morse homology},
author = {Matthias Schwarz},
journal= {arXiv preprint arXiv:math/9905152},
year = {2007}
}
Comments
20 pages