RT Journal Article
T1 Moduli spaces of parabolic U(p,q) -Higgs bundles.
A1 García Prada, O.
A1 Logares, M.
A1 Muñoz, Vicente
AB Using the L2-norm of the Higgs field as a Morse function, we study the moduli space of parabolic U(p, q)-Higgs bundles over a Riemann surface with a finite number of marked points, under certain genericity conditions on the parabolic structure. When the parabolic degree is zero this space is homeomorphic to the moduli space of representations of the fundamental group of the punctured surface in U(p, q), with fixed compact holonomy classes around the marked points. By means of this homeomorphism we count the number of connected components of this moduli space of representations. Finally, we apply our results to the study of representations of the fundamental group of elliptic surfaces of general type.
PB Oxford University Press
SN 0033-5606
YR 2009
FD 2009
LK https://hdl.handle.net/20.500.14352/50634
UL https://hdl.handle.net/20.500.14352/50634
DS Docta Complutense
RD 30 abr 2024