%0 Journal Article %T The Grothendieck constant is strictly smaller than Krivine's bound %A Mark Braverman %A Konstantin Makarychev %A Yury Makarychev %A Assaf Naor %J Computer Science %D 2011 %I arXiv %X We prove that $K_G<\frac{\pi}{2\log(1+\sqrt{2})}$, where $K_G$ is the Grothendieck constant. %U http://arxiv.org/abs/1103.6161v3