The Hodge theory of Soergel bimodules
Representation Theory
2016-11-18 v2
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.
Keywords
Cite
@article{arxiv.1212.0791,
title = {The Hodge theory of Soergel bimodules},
author = {Ben Elias and Geordie Williamson},
journal= {arXiv preprint arXiv:1212.0791},
year = {2016}
}
Comments
44 pages. v2: many minor changes, final version