Symplectic capacities of disc cotangent bundles of flat tori

Benedetti, Gabriele; Bimmermann, Johanna; Zehmisch, Kai

doi:10.1090/proc/17018

Symplectic capacities of disc cotangent bundles of flat tori
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by Gabriele Benedetti, Johanna Bimmermann and Kai Zehmisch;

Proc. Amer. Math. Soc. 152 (2024), 5367-5372

DOI: https://doi.org/10.1090/proc/17018

Published electronically: October 10, 2024

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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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Symplectic capacities of disc cotangent bundles of flat tori
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Abstract: