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arXiv · 2411.05563

Counting stringy points on a family of character varieties

Lucas de Amorin·Martin Mereb
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Abstract

We provided explicit formulas for the number of stringy points over finite fields of parabolic type A character varieties with generic semisimple monodromy. This leads to formulas for their stringy E-polynomials. In particular, they satisfy the Betti Topological Mirror Symmetry Conjecture of T. Hausel and M. Thaddeus, as well as a refinement regarding isotypic components. Our proof is based on a Frobenius' type formula for Clifford's type settings and an analysis of it in a specific set-up related to regular wreath products with cyclic groups.

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Lucas de Amorin, Martin Mereb. 2024-11-08. Counting stringy points on a family of character varieties. https://arxiv.org/abs/2411.05563

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