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.
- Publication:
-
arXiv e-prints
- Pub Date:
- December 2012
- DOI:
- 10.48550/arXiv.1212.0791
- arXiv:
- arXiv:1212.0791
- Bibcode:
- 2012arXiv1212.0791E
- Keywords:
-
- Mathematics - Representation Theory;
- 20G05;
- 20F55;
- 14F43;
- 22E46
- E-Print:
- 44 pages. v2: many minor changes, final version