2 citations · 3 across the 2 of their papers we have counts for
5 papers
Floer Homology with DG Coefficients. Applications to cotangent bundles
Jean-François Barraud, Mihai Damian, Vincent Humilière +1
We define Hamiltonian Floer homology with differential graded (DG) local coefficients for symplectically aspherical manifolds. The differential of the underlying complex involves c…
Higher Dimensional Birkhoff attractors (with an appendix by Maxime Zavidovique)
Marie-Claude Arnaud, Vincent Humilière, Claude Viterbo
We extend to higher dimensions the notion of Birkhoff attractor of a dissipative map. We prove that this notion coincides with the classical Birkhoff attractor. We prove that for t…
Subleading asymptotics of link spectral invariants and homeomorphism groups of surfaces
Dan Cristofaro-Gardiner, Vincent Humilière, Cheuk Yu Mak +2
This paper continues the study of link spectral invariants on compact surfaces, introduced in our previous work and shown to satisfy a Weyl law in which they asymptotically recover…
Essential loops in completions of Hamiltonian groups
Vincent Humilière, Alexandre Jannaud, Rémi Leclercq
We initiate the study of the fundamental group of natural completions of the group of Hamiltonian diffeomorphisms, namely its -closure and its…
Morse homology with DG coefficients
Jean-François Barraud, Mihai Damian, Vincent Humilière +1
We develop a theory of Morse homology and cohomology with coefficients in a derived local system, for manifolds and also more generally for colimits of spaces that have the homotop…