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Hodge polynomials of the SL(2, C)-character variety of an elliptic curve with two marked points

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Logares, Marina and Muñoz, Vicente (2014) Hodge polynomials of the SL(2, C)-character variety of an elliptic curve with two marked points. International journal of mathematics, 25 (14). ISSN 0129-167X

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Official URL: http://www.worldscientific.com/doi/abs/10.1142/S0129167X14501250



Abstract

We compute the Hodge polynomials for the moduli space of representations of an elliptic curve with two marked points into SL(2, C). When we fix the conjugacy classes of the representations around the marked points to be diagonal and of modulus one, the character variety is diffeomorphic to the moduli space of strongly parabolic Higgs bundles, whose Betti numbers are known. In that case we can recover some of the Hodge numbers of the character variety. We extend this result to the moduli space of doubly periodic instantons.


Item Type:Article
Uncontrolled Keywords:Character variety; elliptic curve; Hodge-Deligne polynomial
Subjects:Sciences > Mathematics
ID Code:29081
Deposited On:06 Mar 2015 09:44
Last Modified:26 Mar 2015 09:47

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