naa a22 4500 51076083X CHVBK 20180411083138.0 cr unu---uuuuu 180411e20130701xx s 000 0 eng 10.1007/s13163-013-0115-5 doi (NATIONALLICENCE)springer-10.1007/s13163-013-0115-5 Hodge polynomials of SL $$(2,\mathbb{C })$$ -character varieties for curves of small genus [Elektronische Daten] [Marina Logares, Vicente Muñoz, P. Newstead] We compute the E-polynomials of the moduli spaces of representations of the fundamental group of a complex curve into $$\mathrm{\text{ SL} }(2,{\mathbb{C }}),$$ for the case of small genus $$g,$$ and allowing the holonomy around a fixed point to be any matrix of $$\mathrm{\text{ SL} }(2,{\mathbb{C }}),$$ that is $$\,\text{ Id}\,, -\,\text{ Id}\,,$$ 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. Universidad Complutense de Madrid, 2013 Moduli spaces nationallicence E-polynomial nationallicence Character varieties nationallicence Surface group nationallicence Logares Marina Instituto de Ciencias Matemáticas (CSIC-UAM-UC3M-UCM), C/Nicolas Cabrera 15, 28049, Madrid, Spain aut Muñoz Vicente Facultad de Matemáticas, Universidad Complutense de Madrid, Plaza Ciencias 3, 28040, Madrid, Spain aut Newstead P. Department of Mathematical Sciences, University of Liverpool, Peach Street, L69 7ZL, Liverpool, UK aut Revista Matemática Complutense Springer Milan 26/2(2013-07-01), 635-703 1139-1138 26:2<635 2013 26 13163 https://doi.org/10.1007/s13163-013-0115-5 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s13163-013-0115-5 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Logares Marina Instituto de Ciencias Matemáticas (CSIC-UAM-UC3M-UCM), C/Nicolas Cabrera 15, 28049, Madrid, Spain aut NATIONALLICENCE 700 1- Muñoz Vicente Facultad de Matemáticas, Universidad Complutense de Madrid, Plaza Ciencias 3, 28040, Madrid, Spain aut NATIONALLICENCE 700 1- Newstead P. Department of Mathematical Sciences, University of Liverpool, Peach Street, L69 7ZL, Liverpool, UK aut NATIONALLICENCE 773 0- Revista Matemática Complutense Springer Milan 26/2(2013-07-01), 635-703 1139-1138 26:2<635 2013 26 13163 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer