3 papers
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.SG2024
Hofer distance on Lagrangian links inside the disc
Ibrahim Trifa
We show that the set of Hamiltonian isotopies of certain unions of circles inside the disc is unbounded for the Hofer distance. The proof relies on a result by Francesco Morabito t…
math.SG2023
Hameomorphism Groups of Positive Genus Surfaces
Cheuk Yu Mak, Ibrahim Trifa
In their previous works arXiv:2105.11026, arXiv:2206.10749, Cristofaro-Gardiner, Humilière, Mak, Seyfaddini and Smith defined links spectral invariants on connected compact surface…