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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Author: Muñoz Velázquez, Vicente × Subject: 515.1 ×

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    Hodge polynomials of SL (2,C)-character varieties for curves of small genus
    (Revista matemática complutense, 2013) Logares Jiménez, Marina Lucía; Muñoz Velázquez, Vicente; Newstead, P. E.
    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