Logares Jiménez, Marina LucíaMuñoz Velázquez, VicenteNewstead, P. E.2023-06-192023-06-192013-07Logares 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/s13163-013-0115-5.1139-113810.1007/s13163-013-0115-5https://hdl.handle.net/20.500.14352/33336We 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 fibrationsengjournal articlehttps//doi.org/10.1007/s13163-013-0115-5http://link.springer.com/content/pdf/10.1007%2Fs13163-013-0115-5.pdfrestricted access514515.1Moduli spacesE-polynomialCharacter varietiesSurface groupGeometríaTopología1204 Geometría1210 Topología