(Ir)regular singularities and Quantum Field Theory
On Hodge polynomials of Singular Character Varieties
Author(s)
Carlos Florentino, Azizeh Nozad, Jaime Silva, Alfonso Zamora
Topic
Character varieties and Higgs bundles
Abstract
Let XΓG:=Hom(Γ,G)//G be the G-character variety of Γ, where G is a complex reductive group and Γ a finitely presented group. We introduce new techniques for computing Hodge-Deligne and Serre polynomials of XΓG, and present some applications, focusing on the cases when Γ is a free or free abelian group. Detailed constructions and proofs of the main results will appear elsewhere.
Year
2020
Reference
Florentino, Carlos, et al. “On Hodge polynomials of Singular Character Varieties.” arXiv preprint arXiv:2006.14520 (2020).