A Counterexample to Viterbo's Conjecture

2024/05/26 by Pazit Haim‐Kislev, Haim-Kislev, Pazit, Yaron Ostrover +1 · 2 citations
Computer Science · Mathematics · #52A40 #53D05 #Computability, Logic, AI Algorithms #FOS: Mathematics #Mathematics and Applications #Metric Geometry (math.MG) #Symplectic Geometry (math.SG) #semigroups and automata theory

paper · pdf · doi:10.48550/arxiv.2405.16513

openalex publication_date 2024/05/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Cited by

• Dynamical extensions of Zoll to nonsmooth convex bodies
• The strong Viterbo conjecture and various flavours of duality in Lagrangian products

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