3 citations · 6 across the 17 of their papers we have counts for
18 papers
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…
Morse complexes and multiplicative structures
Hossein Abbaspour, Francois Laudenbach
In this article we lay out the details of Fukaya's -structure of the Morse complexe of a manifold possibly with boundary. We show that this -structure is homoto…
Ren{é} Thom and an anticipated h-principle
Francois Laudenbach
The first part of this article intends to present the role played by Thom in diffusing Smale's ideas about immersion theory, at a time (1957) where some famous mathematicians were…
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…