Topological mirror symmetry for rank two character varieties of surface groups

被引：1
|
作者：
Mauri, Mirko [1 ]
机构：
[1] Max Planck Inst Math, Vivatgasse 7, D-53111 Bonn, Germany
来源：
ABHANDLUNGEN AUS DEM MATHEMATISCHEN SEMINAR DER UNIVERSITAT HAMBURG | 2021年 / 91卷 / 02期
关键词：
Intersection cohomology; Mirror symmetry; Character variety; E-polynomial; Perverse filtration;
D O I：
10.1007/s12188-021-00246-y
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The moduli spaces of flat SL2- and PGL(2)-connections are known to be singular SYZ-mirror partners. We establish the equality of Hodge numbers of their intersection (stringy) cohomology. In rank two, this answers a question raised by Tamas Hausel in Remark 3.30 of "Global topology of the Hitchin system".
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页码：297 / 303
页数：7
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