Person:
Muñoz Velázquez, Vicente

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First Name
Vicente
Last Name
Muñoz Velázquez
URI
https://hdl.handle.net/20.500.14352/84910
Affiliation
Universidad Complutense de Madrid
Faculty / Institute
Ciencias Matemáticas
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Area
Geometría y Topología
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    Hodge polynomials of the SL(2, C)-character variety of an elliptic curve with two marked points
    (International journal of mathematics, 2014) Logares Jiménez, Marina Lucía; Muñoz Velázquez, Vicente
    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.