3 papers
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.SG2022
Free subgroup of the symplectic mapping class group
Alexandre Jannaud
Using the technology of barcodes and previously proven continuity results, we extend to symplectic topology a beautiful result from Keating. Given two Lagrangian spheres in a…
math.SG2021
Dehn-Seidel twist, symplectic topology and barcodes
Alexandre Jannaud
We initiate the study of the symplectic mapping class group, i.e. the group of isotopy classes of symplectic homeomorphisms. We prove that none of the different powers of the…