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math.SG2025
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…
math.SG2025
-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…
math.SG2025
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…