4 papers
The completion of the set of Lagrangians and applications to dynamics -- Based on lectures by C. Viterbo
Olga Bernardi, Francesco Morabito
The goal of these lectures is to introduce the completion of the set of Lagrangian submanifolds of a symplectic manifold with respect to the spectral metric first introduced by V.…
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…
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…
Link Floer Homology and a Hofer Pseudometric on Braids
Francesco Morabito
Following an idea of Frédéric le Roux, we define in this paper a family of Hofer-type pseudonorms on braid groups, computing the minimal energy of a Hamiltonian diffeomorphism whic…