Universidad Complutense de Madrid
E-Prints Complutense

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

Impacto

Downloads

Downloads per month over past year

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

[img]
Preview
PDF
430kB

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




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.


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

Origin of downloads

Repository Staff Only: item control page