JournalscmhVol. 83, No. 2pp. 359–369

The -ellipsoid, symplectic capacities and volume

  • Shiri Artstein-Avidan

    Tel Aviv University, Israel

  • Vitali Milman

    Tel Aviv University, Israel

  • Yaron Ostrover

    Tel Aviv University, Israel
The $M$-ellipsoid, symplectic capacities and volume cover
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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