%0 Journal Article %A Martínez, J. %A Muñoz, Vicente %T E-polynomial of SL(2,C)-character varieties of complex curves of genus 3. %D 2016 %@ 0030-6126 %U https://hdl.handle.net/20.500.14352/23032 %X 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. %~