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arXiv · 1212.0791

The Hodge theory of Soergel bimodules

Ben Elias·Geordie Williamson
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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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BibTeXRIS

Ben Elias, Geordie Williamson. 2012-12-04. The Hodge theory of Soergel bimodules. https://arxiv.org/abs/1212.0791

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