Papers
Topics
Authors
Recent
Gemini 2.5 Flash
Gemini 2.5 Flash
157 tokens/sec
GPT-4o
8 tokens/sec
Gemini 2.5 Pro Pro
46 tokens/sec
o3 Pro
4 tokens/sec
GPT-4.1 Pro
38 tokens/sec
DeepSeek R1 via Azure Pro
28 tokens/sec
2000 character limit reached

On Hodge polynomials of Singular Character Varieties (2006.14520v1)

Published 25 Jun 2020 in math.AG and math.RT

Abstract: Let $\mathcal{X}{\Gamma}G:=\mathrm{Hom}(\Gamma,G)/!/G$ be the $G$-character variety of $\Gamma$, where $G$ is a complex reductive group and $\Gamma$ a finitely presented group. We introduce new techniques for computing Hodge-Deligne and Serre polynomials of $\mathcal{X}{\Gamma}G$, and present some applications, focusing on the cases when $\Gamma$ is a free or free abelian group. Detailed constructions and proofs of the main results will appear elsewhere.

Summary

We haven't generated a summary for this paper yet.