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The Hodge theory of Soergel bimodules

Published 4 Dec 2012 in math.RT | (1212.0791v2)

Abstract: We prove Soergel's conjecture on the characters of indecomposable Soergel bimodules. We deduce that Kazhdan-Lusztig polynomials have positive coefficients for arbitrary Coxeter systems. Using results of Soergel one may deduce an algebraic proof of the Kazhdan-Lusztig conjecture.

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