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A Counterexample to Viterbo's Conjecture

Published 26 May 2024 in math.SG and math.MG | (2405.16513v2)

Abstract: We provide a counterexample to Viterbo's volume-capacity conjecture based on Minkowski billiard dynamics. This implies in particular that symplectic capacities differ on the class of convex domains in the classical phase space.

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