The Hodge theory of Soergel bimodules

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.

44 pages. v2: many minor changes, final version

Cited by in corpus (3)

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