E-polynomials of the SL(2,C)-character varieties of surface groups
Algebraic Geometry
2020-02-11 v3
Abstract
We compute the E-polynomials of the moduli spaces of representations of the fundamental group of a once-punctured surface of any genus into SL(2,C), for any possible holonomy around the puncture. We follow the geometric technique introduced in arXiv:1106.6011, based on stratifying the space of representations, and on the analysis of the behaviour of the E-polynomial under fibrations.
Cite
@article{arxiv.1407.6975,
title = {E-polynomials of the SL(2,C)-character varieties of surface groups},
author = {Javier Martinez-Martinez and Vicente Munoz},
journal= {arXiv preprint arXiv:1407.6975},
year = {2020}
}
Comments
22 pages, no figures. v2. References added. v3. Typo in matrix of page 17 corrected. arXiv admin note: text overlap with arXiv:1405.7120