Davison, B. (2016) Cohomological Hall algebras and character varieties. International Journal of Mathematics, 27(7), 1640003. (doi: 10.1142/S0129167X16400036)
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Abstract
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 EE polynomials of twisted character varieties and untwisted character stacks. We present a conjectural lift of this relationship to the cohomological Hall algebra setting.
| Item Type: | Articles |
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| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Davison, Nicholas |
| Authors: | Davison, B. |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Journal Name: | International Journal of Mathematics |
| Publisher: | World Scientific Publishing |
| ISSN: | 0129-167X |
| ISSN (Online): | 1793-6519 |
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