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



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Martinez, Javier and Muñoz, Vicente (2016) E-polynomials of the SL(2, C)-character varieties of surface groups. International Mathematics Research Notices (3). pp. 926-961. ISSN 1073-7928


Official URL: http://imrn.oxfordjournals.org/content/early/2015/06/04/imrn.rnv163.refs


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.

Item Type:Article
Uncontrolled Keywords:Moduli spaces; E-polynomial; Character variety; Surface group.
Subjects:Sciences > Mathematics > Algebraic geometry
ID Code:38237
Deposited On:05 Jul 2016 07:05
Last Modified:12 Dec 2018 15:12

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