English

Higgs bundles for the Lorentz group

Algebraic Geometry 2010-04-05 v1 Differential Geometry

Abstract

Using the Morse-theoretic methods introduced by Hitchin, we prove that the moduli space of \SO0(1,n)\SO_0(1,n)-Higgs bundles when nn is odd has two connected components.

Keywords

Cite

@article{arxiv.1004.0318,
  title  = {Higgs bundles for the Lorentz group},
  author = {Marta Aparicio Arroyo and Oscar Garcia-Prada},
  journal= {arXiv preprint arXiv:1004.0318},
  year   = {2010}
}
R2 v1 2026-06-21T15:05:52.550Z