A Counterexample to Viterbo's Conjecture
Symplectic Geometry
2025-11-24 v3 Metric Geometry
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.
Cite
@article{arxiv.2405.16513,
title = {A Counterexample to Viterbo's Conjecture},
author = {Pazit Haim-Kislev and Yaron Ostrover},
journal= {arXiv preprint arXiv:2405.16513},
year = {2025}
}