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arXiv · 2405.16513

A Counterexample to Viterbo's Conjecture

Pazit Haim-Kislev·Yaron Ostrover
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Abstract

We present a counterexample to Viterbo's volume-capacity conjecture. This implies, in particular, that in contrast with a well-known conjecture, symplectic capacities do not coincide on the class of convex domains in the classical phase space.

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Pazit Haim-Kislev, Yaron Ostrover. 2024-05-26. A Counterexample to Viterbo's Conjecture. https://arxiv.org/abs/2405.16513

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