3 citations · 6 across the 17 of their papers we have counts for
14 papers · 1 filter
The Poincaré-Lefschetz pairing viewed on Morse complexes
François Laudenbach
Given a compact manifold with a non-empty boundary and equipped with a generic Morse function (that is, no critical point on the boundary and the restriction to the boundary is a M…
On an article by S. A. Barannikov
Francois Laudenbach
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 equi…
Haefliger structures and symplectic/contact structures
Francois Laudenbach, Gael Meigniez
For some geometries including symplectic and contact structures on an n-dimensional manifold, we introduce a two-step approach to Gromov's h-principle. From formal geometric data,…
A proof of Morse's theorem about the cancellation of critical points
Francois Laudenbach
In this note, we give a proof of the famous theorem of M. Morse dealing with the cancellation of a pair of non-degenerate critical points of a smooth function. Our proof consists o…
A proof of Reidemeister-Singer's theorem by Cerf's methods
Francois Laudenbach
Heegaard splittings and Heegaard diagrams of a closed 3-manifold M are translated into the language of Morse functions with Morse-Smale pseudo-gradients defined on M. We make use i…
Haefliger's codimension-one singular foliations, open books and twisted open books in dimension 3
Francois Laudenbach, Gael Gael Meigniez
We consider singular foliations of codimension one on 3-manifolds, in the sense defined by A. Haefliger as being Gamma_1-structures. We prove that under the obvious linear embeddin…