Publication: E-polynomials of the SL(2, C)-character varieties of surface groups
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Publication Date
2016
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Oxford University Press
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 [12], based on stratifying the space of representations, and on the analysis of the behavior of the E-polynomial under fibrations.