On an article by S. A. Barannikov
Geometric Topology
2015-11-24 v2
Abstract
Given a Morse function f on a closed manifold M with distinct critical values, and given a field F, there is a canonical complex, called the Morse-Barannikov complex, which is equivalent to any Morse complex associated with f and whose form is simple. In particular, the homology of M with coefficients in F is immediately readable on this complex. The bifurcation theory of this complex in a generic one-parameter family of functions will be investigated. Applications to the boundary manifolds will be given.
Keywords
Cite
@article{arxiv.1509.03490,
title = {On an article by S. A. Barannikov},
author = {Francois Laudenbach},
journal= {arXiv preprint arXiv:1509.03490},
year = {2015}
}