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math.SG2024
Hamiltonian Braids via Generating Functions
Francesco Morabito
Given a compactly supported Hamiltonian diffeomorphism of the plane, one can define a generating function for it. In this paper, we show how generating functions retain information…
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…