Corpus ID: 89614080

On an article by S. A. Barannikov

  title={On an article by S. A. Barannikov},
  author={F. Laudenbach},
  journal={arXiv: Geometric Topology},
  • F. Laudenbach
  • Published 2013
  • Mathematics
  • arXiv: Geometric Topology
  • 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… CONTINUE READING
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