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math.SG2023
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…
math.SG2023
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…