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…
A Multidimensional Birkhoff Theorem for some Lagrangians
Skander Charfi, Ibrahim Trifa
We prove a multidimensional Birkhoff theorem for a new class of " Lagrangian subsets" in cotangent bundles, obtained as Hausdorff limits of compact exact Lagrangian submanifol…
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…
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…
Hofer Energy and Link Preserving Diffeomorphisms in Higher Genus
Francesco Morabito, Ibrahim Trifa
Given a pre-monotone Lagrangian link, we obtain Hofer energy estimates for Hamiltonian diffeomorphisms preserving it. Such estimates depend on the braid type of the Hamiltonian dif…
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…