C^0 Lagrangian Monodromy
Symplectic Geometry
2025-08-04 v2
Abstract
We prove that (under appropriate orientation assumptions), the action of a Hamiltonian homeomorphism \phi on the cohomology of a relatively exact Lagrangian fixed by \phi is the identity. This extends results of Hu-Lalonde-Leclercq and the author in the setting of Hamiltonian diffeomorphisms. We also prove a similar result regarding the action of \phi on relative cohomology.
Cite
@article{arxiv.2404.04591,
title = {C^0 Lagrangian Monodromy},
author = {Noah Porcelli},
journal= {arXiv preprint arXiv:2404.04591},
year = {2025}
}
Comments
v2: 12 pages. Accepted version. Expanded in response to referee report. Comments still welcome!