2 papers
math.SG2026
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.…
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…