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arXiv · 2404.01052

Hofer Energy and Link Preserving Diffeomorphisms in Higher Genus

Francesco Morabito·Ibrahim Trifa
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Abstract

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 diffeomorphism only, and the natural language to talk about this phenomenon is provided by a family of norms on braid groups for surfaces with boundary. This generalises the results obtained by the first author to higher genus surfaces with boundary.

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Francesco Morabito, Ibrahim Trifa. 2024-04-01. Hofer Energy and Link Preserving Diffeomorphisms in Higher Genus. https://arxiv.org/abs/2404.01052

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