The Hodge theory of Soergel bimodules

• Autores: Ben Elias, Geordie Williamson
• Localización: Annals of mathematics, ISSN 0003-486X, Vol. 180, Nº 3, 2014, págs. 1089-1136
• Idioma: inglés
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• Resumen

  • 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