Topological mirror symmetry for rank two character varieties of surface groups
Keyword(s):
AbstractThe moduli spaces of flat $${\text{SL}}_2$$ SL 2 - and $${\text{PGL}}_2$$ 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 Tamás Hausel in Remark 3.30 of “Global topology of the Hitchin system”.
Keyword(s):
2000 ◽
Vol 51
(4)
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pp. 465-483
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2015 ◽
Vol 2016
(3)
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pp. 926-961
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2020 ◽
Vol 221
(1)
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pp. 301-327
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