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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.SG2024
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…