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 <var>M</var>-ellipsoid, symplectic capacities and volume. Comment. Math. Helv. 83 (2008), no. 2, pp. 359–369DOI 10.4171/CMH/127