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The Hodge theory of Soergel bimodules

Research paper by Ben Elias, Geordie Williamson

Indexed on: 17 Feb '14Published on: 17 Feb '14Published in: Mathematics - Representation Theory



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.