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International Mathematics Research Notices (2008) Vol. 2008 : article ID rnn044, 31 pages, doi:10.1093/imrn/rnn044 published on May 6, 2008
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© The Author 2008. Published by Oxford University Press. All rights reserved. For permissions, please e-mail: journals.permissions@oxfordjournals.org

A Brunn–Minkowski Inequality for Symplectic Capacities of Convex Domains

Shiri Artstein-Avidan1 and Yaron Ostrover2

1 School of Mathematical Sciences, Tel Aviv University, Tel Aviv 69978, Israel
2 Department of Mathematics, MIT, Cambridge, MA 02139, USA

Correspondence: Correspondence to be sent to: ostrover{at}math.mit.edu

In this work, we prove a Brunn–Minkowski-type inequality in the context of symplectic geometry and discuss some of its applications.

The first and second named authors were both partially supported by BSF grant no. 2006079. This first named author was partially supported by the ISF grant No. 865/07, and the second named author was partially supported by NSF grant DMS-0706976.


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