Commentarii Mathematici Helvetici
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Published online: 2008-06-30
The M-ellipsoid, symplectic capacities and volumeShiri Artstein-Avidan, Vitali Milman and Yaron Ostrover (1) Tel Aviv University, Israel
(2) Tel Aviv University, Israel
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.
Keywords: Symplectic capacities, convex bodies, volume, M-ellipsoid
Artstein-Avidan Shiri, Milman Vitali, Ostrover Yaron: The M-ellipsoid, symplectic capacities and volume. Comment. Math. Helv. 83 (2008), 359-369. doi: 10.4171/CMH/127