RT Journal Article T1 Hodge polynomials of SL (2,C)-character varieties for curves of small genus A1 Logares Jiménez, Marina Lucía A1 Muñoz Velázquez, Vicente A1 Newstead, P. E. AB We compute the E-polynomials of the moduli spaces of representations of the fundamental group of a complex curve into for the case of small genus and allowing the holonomy around a fixed point to be any matrix of that is diagonalisable, or of either of the two Jordan types. For this, we introduce a new geometric technique, based on stratifying the space of representations, and on the analysis of the behaviour of the E-polynomial under fibrations PB Springer SN 1139-1138 YR 2013 FD 2013-07 LK https://hdl.handle.net/20.500.14352/33336 UL https://hdl.handle.net/20.500.14352/33336 LA eng NO Logares Jiménez, M., Muñoz Velázquez, V. & Newstead, P. E. «Hodge Polynomials of SL $$(2,\mathbb{C })$$ -Character Varieties for Curves of Small Genus». Revista Matemática Complutense, vol. 26, n.o 2, julio de 2013, pp. 635-703. DOI.org (Crossref), https://doi.org/10.1007/s13163-013-0115-5. NO i-Math Future contract NO FCT (Portugal) NO Ministerio de Ciencia, Innovación y Universidades (España) NO FCT (Spain) DS Docta Complutense RD 8 abr 2025