RT Journal Article
T1 Hodge polynomials of the SL(2, C)-character variety of an elliptic curve with two marked points
A1 Logares Jiménez, Marina Lucía
A1 Muñoz Velázquez, Vicente
AB 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.
PB World Scientific
SN 0129-167X
YR 2014
FD 2014-12
LK https://hdl.handle.net/20.500.14352/33858
UL https://hdl.handle.net/20.500.14352/33858
LA spa
NO Logares Jiménez, M. L. & Muñoz Velázquez, V. «Hodge Polynomials of the SL(2, ℂ)-Character Variety of an Elliptic Curve with Two Marked Points». International Journal of Mathematics, vol. 25, n.o 14, diciembre de 2014, p. 1450125. DOI.org (Crossref), https://doi.org/10.1142/S0129167X14501250.
NO Ministerio de Economía, Comercio y Empresa (España) - Instituto de Ciencias Matemáticas - Severo Ochoa project
NO FCT
NO European Regional Development Fund
DS Docta Complutense
RD 22 ago 2024