Virtual classes of parabolic $\mathrm{SL}_2(\mathbb{C})$-character varieties
Algebraic Geometry
2020-05-25 v2 Category Theory
Representation Theory
Abstract
In this paper, we compute the virtual classes in the Grothendieck ring of algebraic varieties of -character varieties over compact orientable surfaces with parabolic points of semi-simple type. When the parabolic punctures are chosen to be semi-simple non-generic, we show that a new interaction phenomenon appears generating a recursive pattern.
Cite
@article{arxiv.1906.05222,
title = {Virtual classes of parabolic $\mathrm{SL}_2(\mathbb{C})$-character varieties},
author = {Ángel González-Prieto},
journal= {arXiv preprint arXiv:1906.05222},
year = {2020}
}
Comments
33 pages, 1 figure. Minor corrections added