32 citations · 99 across the 15 of their papers we have counts for
16 papers
The Lagrangian flux-monodromy morphism
Joé Brendel, Jean-Philippe Chassé, Rémi Leclercq
We define a new morphism on the fundamental group of the space of Lagrangian submanifolds, which takes into account the Lagrangian flux and monodromy. We study the discreteness of…
Weinstein exactness of nearby Lagrangians and related questions
Marcelo S. Atallah, Jean-Philippe Chassé, Rémi Leclercq +1
We address the following problem: if a Hamiltonian diffeomorphism maps a Lagrangian submanifold to a small Weinstein neighborhood of , is the image necessarily Hamiltonian i…
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 c…
A Hölder-type inequality for the Hausdorff distance between Lagrangians
Jean-Philippe Chassé, Rémi Leclercq
We prove a Hölder-type inequality for the Hausdorff distance between Lagrangians with respect to the Lagrangian spectral distance or the Hofer-Chekanov distance in the spirit of Jo…
Non-contractible Hamiltonian loops in the kernel of Seidel's representation
Sílvia Anjos, Rémi Leclercq
The main purpose of this note is to exhibit a Hamiltonian diffeomorphism loop undetected by the Seidel morphism of certain 2-point blow-ups of , exactly one of whic…
Spectral invariants for monotone Lagrangians
Rémi Leclercq, Frol Zapolsky
Since spectral invariants were introduced in cotangent bundles via generating functions by Viterbo in the seminal paper "Symplectic topology as the geometry of generating functions…