Cohomological Hall algebras and character varieties
Keyword(s):
In this paper, we investigate the relationship between twisted and untwisted character varieties, via a specific instance of the Cohomological Hall algebra for moduli of objects in 3-Calabi–Yau categories introduced by Kontsevich and Soibelman. In terms of Donaldson–Thomas theory, this relationship is completely understood via the calculations of Hausel and Villegas of the [Formula: see text] polynomials of twisted character varieties and untwisted character stacks. We present a conjectural lift of this relationship to the cohomological Hall algebra setting.
2018 ◽
Vol 2020
(15)
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pp. 4721-4775
Keyword(s):
2018 ◽
Vol 19
(3)
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pp. 971-1028
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2013 ◽
Vol 149
(6)
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pp. 914-958
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Keyword(s):
2020 ◽
Vol 2020
(760)
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pp. 59-132
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Keyword(s):
2019 ◽
Vol 150
(3)
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pp. 1581-1607