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math.SG2024★ 1 cited
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…
math.SG2024★ 2 cited
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…