Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4585267 | Journal of Algebra | 2013 | 9 Pages |
Abstract
Let G be a connected real reductive algebraic group, and let K be a maximal compact subgroup of G. We prove that the conjugation orbit space Hom(Z2d,K)/K is a strong deformation retract of the space Hom(Z2d,G)//G of equivalence classes of representations of Z2d into G. This is proved by showing that the homotopy type of the moduli space of principal G-Higgs bundles of vanishing rational characteristic classes on a complex abelian variety of dimension d depends only on K.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Indranil Biswas, Carlos Florentino,