Martínez, J.Muñoz, Vicente2023-06-182023-06-1820160030-6126https://hdl.handle.net/20.500.14352/23032We 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.engjournal articlehttps://projecteuclid.org/euclid.ojm/1470413983https://projecteuclid.org/restricted access517.5512.7Character VarietiesHodge PolynomialsHiggs BundlesModuliDualityFunciones (Matemáticas)Geometria algebraica1202 Análisis y Análisis Funcional1201.01 Geometría Algebraica