Connectedness of Higgs bundle moduli for complex reductive Lie groups

TitleConnectedness of Higgs bundle moduli for complex reductive Lie groups
Publication TypeArticles in international peer reviewed journals
Year of PublicationIn Press
AuthorsGarcía-Prada O., Oliveira A.
JournalAsian J. Math.
KeywordsSemistable Higgs bundles, connected components of moduli spaces.
Abstract

We carry an intrinsic approach to the study of the connectedness of the moduli space M_G of G-Higgs bundles, over a compact Riemann surface, when G is a  complex reductive (not necessarily connected) Lie group. We prove that the number of connected components of M_G is indexed by the
corresponding  topological invariants. In particular, this gives an alternative proof of the counting by J. Li in
[25] of the number of connected components of the moduli space of flat G-connections in the case in which  G is connected and semisimple.

URLhttp://arxiv.org/pdf/1408.4778.pdf
[In Press-1]

Area / Group: 

Geometry