5 papers
A non-autonomous Hamiltonian diffeomorphism with roots of all orders
Nicolas Grunder, Baptiste Serraille
We present a way of constructing non-autonomous Hamiltonian diffeomorphisms with roots of all orders by adapting the Anosov-Katok construction. This answers a question by Kathryn M…
The sharp -fragmentation property for Hamiltonian diffeomorphisms and homeomorphisms on surfaces
Baptiste Serraille
In this paper, we present a -fragmentation property for Hamiltonian diffeomorphisms. More precisely, it is known that for a given open covering of a compact symp…
On link quasimorphisms on the sphere and the equator conjecture
Baptiste Serraille, Ibrahim Trifa
Link spectral invariants were introduced by Cristofaro-Gardiner, Humilière, Mak, Seyfaddini, and Smith. They induce Hofer-Lipschitz quasimorphisms on the group of Hamiltonian diff…
-Contact Geometry of Surfaces in 3-Manifolds
Baptiste Serraille, Maksim StokiÄ
We prove that contact homeomorphisms preserve characteristic foliations on surfaces in contact -manifolds. More precisely, since the characteristic foliation is a singular -d…
On certain -aspects of contactomorphism groups
Baptiste Serraille, VukaÅ¡in StojisavljeviÄ
We study a number of questions related to the -topology of contactomorphisms and contact homeomorphisms. In particular, we show a connection between Rokhlin property of contac…