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arXiv · 2404.04591

C^0 Lagrangian Monodromy

Noah Porcelli
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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.

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Noah Porcelli. 2024-04-06. C^0 Lagrangian Monodromy. https://arxiv.org/abs/2404.04591

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