Poincare polynomials of moduli spaces of Higgs bundles and character varieties (no punctures)
成果类型：
Article
署名作者：
Mellit, Anton
署名单位：
University of Vienna
刊物名称：
INVENTIONES MATHEMATICAE
ISSN/ISSBN：
0020-9910
DOI：
10.1007/s00222-020-00950-1
发表日期：
2020
页码：
301-327
关键词：
摘要：
Using our earlier results on polynomiality properties of plethystic logarithms of generating series of certain type, we show that Schiffmann's formulas for various counts of Higgs bundles over finite fields can be reduced to much simpler formulas conjectured by Mozgovoy. In particular, our result implies the conjecture of Hausel and Rodriguez-Villegas on the Poincare polynomials of twisted character varieties and the conjecture of Hausel and Thaddeus on independence of E-polynomials on the degree.