2000 character limit reached
A Poincaré--Birkhoff theorem for $C^0$-Hamiltonian maps
Published 12 Jun 2025 in math.SG, math-ph, math.DS, and math.MP | (2506.10545v1)
Abstract: We prove a higher-dimensional version of the well-known Poincar\'e--Birkhoff theorem, using Floer homology. We also prove a relative version for Lagrangian submanifolds. The motivation is finding periodic orbits and Hamiltonian chords in the circular, restricted three-body problem.
Paper Prompts
Sign up for free to create and run prompts on this paper using GPT-5.
Top Community Prompts
Collections
Sign up for free to add this paper to one or more collections.