E-polynomial of SL(2,C)-character varieties of complex curves of genus 3.


Autoria(s): Martínez, J.; Muñoz, Vicente
Data(s)

2016

Resumo

We compute the E-polynomials of the moduli spaces of representations of the fundamental group of a complex curve of genus g = 3 into SL(2, C), and also of the moduli space of twisted representations. The case of genus g = 1, 2 has already been done in [12]. We follow the geometric technique introduced in [12], based on stratifying the space of representations, and on the analysis of the behaviour of the E-polynomial under fibrations.

Formato

application/pdf

application/pdf

Identificador

http://eprints.ucm.es/40081/1/VMu%C3%B1oz108libre.pdf

http://eprints.ucm.es/40081/3/VMu%C3%B1oz108.pdf

Idioma(s)

en

en

Publicador

Osaka University dept Mathematics

Relação

http://eprints.ucm.es/40081/

https://projecteuclid.org/euclid.ojm/1470413983

MTM2010-17389

Direitos

info:eu-repo/semantics/openAccess

info:eu-repo/semantics/restrictedAccess

Palavras-Chave #Funciones (Matemáticas) #Geometria algebraica
Tipo

info:eu-repo/semantics/article

PeerReviewed