arXiv:1509.03490 Abstract | arXiv Analytics

arXiv:1509.03490 [math.GT]Abstract References Reviews Resources

On an article by S. A. Barannikov

Published 2015-09-11Version 1

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.

Categories: math.GT

Keywords: morse function, generic one-parameter, bifurcation theory, distinct critical values, morse complex

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