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A counterexample to Viterbo's conjecture

delete2026-03-01
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PRE
AI
P
Pazit Haim‐Kislev *
O
Ostrover, Yaron
DOI：10.4007/annals.2026.203.2.5delete
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Abstract

Abstract

En 中文
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.
Keywords:
Symplectic capacities
Minkowski billiards

Journal

Annals of Mathematics cover
Annals of Mathematics
IF:
5.3
Papers:
1.4K
Citations:
1.6W

Organization

I
institute for advanced study - usa
Scholars:
926
Papers: 1.4K
Citations: 15
T
tel aviv university
Scholars:
4.8K
Papers: 1.8K
Citations: 1
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