RT Journal Article T1 E-polynomial of SL(2,C)-character varieties of complex curves of genus 3. A1 Martínez, J. A1 Muñoz, Vicente AB 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. PB Osaka University dept Mathematics SN 0030-6126 YR 2016 FD 2016 LK https://hdl.handle.net/20.500.14352/23032 UL https://hdl.handle.net/20.500.14352/23032 LA eng NO Ministerio de Ciencia e Innovación (MICINN) NO FPU scholarship from Spanish Ministerio de Educacion DS Docta Complutense RD 18 abr 2025