This is an announcement for the paper "The M-ellipsoid, symplectic capacities and volume" by Shiri Artstein, Vitali D. Milman and Yaron Ostrover.

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.

Archive classification: Symplectic Geometry; Functional Analysis

Mathematics Subject Classification: 53D05; 53C15; 46B07; 52A20; 46B20

The source file(s), CapMil2006Apr19.tex: 34307 bytes, is(are) stored in gzipped form as 0604434.gz with size 12kb. The corresponding postcript file has gzipped size 61kb.

Submitted from: artstein@math.princeton.edu

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http://front.math.ucdavis.edu/math.SG/0604434

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http://arXiv.org/abs/math.SG/0604434

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