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arXiv · 1407.6975

E-polynomials of the SL(2,C)-character varieties of surface groups

Javier Martinez-Martinez·Vicente Munoz
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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.

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Javier Martinez-Martinez, Vicente Munoz. 2014-07-25. E-polynomials of the SL(2,C)-character varieties of surface groups. https://arxiv.org/abs/1407.6975

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