The -ellipsoid, symplectic capacities and volume
Shiri Artstein-Avidan
Tel Aviv University, IsraelVitali Milman
Tel Aviv University, IsraelYaron Ostrover
Tel Aviv University, Israel
![The $M$-ellipsoid, symplectic capacities and volume cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserials%2Fcover-cmh.png&w=3840&q=90)
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