Topological mirror symmetry for rank two character varieties of surface groups
Algebraic Geometry
2021-01-13 v1
Abstract
The moduli spaces of flat - and -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 Tam\'as Hausel in Remark 3.30 of "Global topology of the Hitchin system".
Cite
@article{arxiv.2101.04659,
title = {Topological mirror symmetry for rank two character varieties of surface groups},
author = {Mirko Mauri},
journal= {arXiv preprint arXiv:2101.04659},
year = {2021}
}
Comments
7 pages. Comments are welcome!