Symplectic capacity and the main triangle projection

Gluskin, E.

doi:10.1090/spmj/1551

Symplectic capacity and the main triangle projection
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by E. D. Gluskin
Translated by: E. Peller

St. Petersburg Math. J. 30 (2019), 437-443

DOI: https://doi.org/10.1090/spmj/1551

Published electronically: April 12, 2019

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Abstract:

In this paper a sequence of convex sets of increasing dimension is constructed for which the Ekeland–Hofer–Zehnder capacity is uniformly bounded while the symplectic capacity grows to infinity. This contrasts sharply with the recent result from the paper by E. D. Gluskin, Y. Ostrover, Comm. Math. Helv. 91 (2016), no. 1, 131–144, which shows that there are no such examples in the case of centrally symmetric convex bodies.

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St. Petersburg Mathematical Journal

Symplectic capacity and the main triangle projection
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Abstract: