6 papers
A counterexample to the generalized Viterbo conjecture on the spectral distance in a disc cotangent bundle
Filip Broćić, Baptiste Serraille, Ibrahim Trifa
We prove the unboundedness of the spectral distance on the space of Lagrangians Hamiltonian isotopic to the zero section within the disc cotangent bundle of a closed manifold satis…
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 diffe…
-Contact Geometry of Surfaces in 3-Manifolds
Baptiste Serraille, Maksim Stokić
We prove that contact homeomorphisms preserve characteristic foliations on surfaces in contact -manifolds. More precisely, since the characteristic foliation is a singular -d…
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…
On certain -aspects of contactomorphism groups
Baptiste Serraille, Vukašin Stojisavljević
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…
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…