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Logares, Marina and Muñoz, Vicente and Newstead, P. E. (2013) Hodge polynomials of SL (2,C)-character varieties for curves of small genus. Revista matemática complutense, 26 (2). pp. 635-703. ISSN 1139-1138
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Official URL: http://link.springer.com/content/pdf/10.1007%2Fs13163-013-0115-5.pdf
Abstract
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
Item Type: | Article |
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Uncontrolled Keywords: | Moduli spaces; E-polynomial; Character varieties; Surface group |
Subjects: | Sciences > Mathematics > Geometry Sciences > Mathematics > Topology |
ID Code: | 22604 |
Deposited On: | 29 Jul 2013 08:27 |
Last Modified: | 12 Dec 2018 15:12 |
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