Cohomological Hall algebras and character varieties

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 E polynomials of twisted character varieties and untwisted character stacks. We present a conjectural lift of this relationship to the cohomological Hall algebra setting.


Published in:
International Journal Of Mathematics, 27, 7, 1640003
Presented at:
VBAC Conference on Algebraic Varieties - Bundles, Topology, Physics, German Res Council, Collaborat Res Ctr 647 Space Time Matter, Berlin, GERMANY, SEP 01-05, 2014
Year:
2016
Publisher:
Singapore, World Scientific Publ Co Pte Ltd
ISSN:
0129-167X
Keywords:
Laboratories:




 Record created 2016-10-18, last modified 2018-09-13


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