8 citations · 12 across the 12 of their papers we have counts for
12 papers
Open problems in billiards and quantitative symplectic geometry
Bernhard Albach, Jean-François Barraud, Misha Bialy +13
This document collects contributions to the Open Problem List in Billiards and Quantitative Symplectic Geometry, compiled following discussions during the workshop ``Billiards and…
Fundamental group in stable Morse theory
Jean-François Barraud, Florian Bertuol
Morse theory relates algebraic topology invariants and the dynamics of the gradient flow of a Morse function, allowing to derive information about one out of the other. In the case…
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…
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…
Floer-Novikov fundamental group and small flux symplectic isotopies
Jean-François Barraud, Agnès Gadbled
Floer theory relates the dynamics of Hamiltonian isotopies and the homology of the ambient manifold. It was extended to similarly relate the dynamics of symplectic isotopies and th…
The fundamental group of a rigid Lagrangian cobordism
Jean-François Barraud, Lara Simone Suárez
In this article we extend the construction of the Floer fundamental group to the monotone Lagrangian setting and use it to study the fundamental group of a Lagrangian cobordism $W\…