The -ellipsoid, symplectic capacities and volume
Shiri Artstein-Avidan
Tel Aviv University, IsraelVitali Milman
Tel Aviv University, IsraelYaron Ostrover
Tel Aviv University, Israel
Abstract
In this work we bring together tools and ideology from two different fields, symplectic geometry and asymptotic geometric analysis, to arrive at some new results. Our main result is a dimension-independent bound for the symplectic capacity of a convex body by its volume radius.
Cite this article
Shiri Artstein-Avidan, Vitali Milman, Yaron Ostrover, The -ellipsoid, symplectic capacities and volume. Comment. Math. Helv. 83 (2008), no. 2, pp. 359–369
DOI 10.4171/CMH/127