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pro vyhledávání: '"Jannaud, Alexandre"'
We initiate the study of the fundamental group of the group of Hamiltonian homeomorphisms denoted by $\overline{\mathrm{Ham}}(M,\omega)$, i.e. the $C^0$-closure of the group of Hamiltonian diffeomorphisms $\mathrm{Ham}(M,\omega)$ in $\mathrm{Homeo}(M
Externí odkaz:
http://arxiv.org/abs/2311.12164
Autor:
Jannaud, Alexandre
Using the technology of barcodes and previously proven continuity results, we extend to $C^0$ symplectic topology a beautiful result from Keating. Given two Lagrangian spheres in a Liouville domain, with good conditions, we prove that the Dehn twists
Externí odkaz:
http://arxiv.org/abs/2211.05570
Autor:
Jannaud, Alexandre
We initiate the study of the $C^0$ symplectic mapping class group, i.e. the group of isotopy classes of symplectic homeomorphisms. We prove that none of the different powers of the square of the Dehn-Seidel twist belong to the same connected componen
Externí odkaz:
http://arxiv.org/abs/2101.07878
Autor:
Jannaud, Alexandre
Publikováno v:
Dynamical Systems [math.DS]. Sorbonne Université, 2020. English. ⟨NNT : 2020SORUS331⟩
We study C0-symplectic geometry through the action of symplectic homeomorphisms on Lagrangian submanifolds. More precisely, we initiate the study of the C0 symplectic mapping class group, i.e. the group of isotopy classes of symplectic homeomorphisms
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::837c26e3679a2abbd47780d9958c9a20
https://tel.archives-ouvertes.fr/tel-03411952/file/JANNAUD_Alexandre_2020.pdf
https://tel.archives-ouvertes.fr/tel-03411952/file/JANNAUD_Alexandre_2020.pdf