E-polynomials of the SL(2, C)-character varieties of surface groups
We compute the E-polynomials of the moduli spaces of representations of the fundamental group of a once-punctured surface of any genus into SL(2, C), for any possible holonomy around the puncture. We follow the geometric technique introduced in [12], based on stratifying the space of representations...
| Authors: | ; |
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| Format: | Article |
| Publication date: | 2016 |
| Country: | España |
| Institution: | Universidad Complutense de Madrid (UCM) |
| Repository: | Docta Complutense |
| Language: | English |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/24547 |
| Online Access: | https://hdl.handle.net/20.500.14352/24547 |
| Access Level: | Open access |
| Keyword: | 512.7 Moduli spaces E-polynomial Character variety Surface group. Geometria algebraica 1201.01 Geometría Algebraica |
| Summary: | We compute the E-polynomials of the moduli spaces of representations of the fundamental group of a once-punctured surface of any genus into SL(2, C), for any possible holonomy around the puncture. We follow the geometric technique introduced in [12], based on stratifying the space of representations, and on the analysis of the behavior of the E-polynomial under fibrations. |
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