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arXiv · 2311.07351

Symplectic capacities of disc cotangent bundles of flat tori

Gabriele Benedetti·Johanna Bimmermann·Kai Zehmisch
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Abstract

We show that on the unit disc cotangent bundle of flat Riemannian tori, all normalized capacities coincide with twice the systole. The same result holds for flat, reversible Finsler tori and normalized capacities that are greater than or equal to the Hofer-Zehnder capacity.

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Gabriele Benedetti, Johanna Bimmermann, Kai Zehmisch. 2023-11-13. Symplectic capacities of disc cotangent bundles of flat tori. https://doi.org/10.1090/proc%2F17018

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