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paper

The Grothendieck constant is strictly smaller than Krivine's bound

arXiv:1103.6161

Abstract

We prove that $K_G<\fracπ{2\log(1+\sqrt{2})}$, where $K_G$ is the Grothendieck constant.

An extended abstract describing the contents of this work will appear in FOCS 2011. Suggestions of the FOCS reviewers have been addressed