English

Principal co-Higgs bundles on $\mathbb{P}^1$

Algebraic Geometry 2020-10-23 v1

Abstract

For complex connected, reductive, affine, algebraic groups GG, we give a Lie-theoretic characterization of the semistability of principal GG-co-Higgs bundles on the complex projective line P1\mathbb{P}^1 in terms of the simple roots of a Borel subgroup of GG. We describe a stratification of the moduli space in terms of the Harder-Narasimhan type of the underlying bundle.

Keywords

Cite

@article{arxiv.1810.12376,
  title  = {Principal co-Higgs bundles on $\mathbb{P}^1$},
  author = {Indranil Biswas and Oscar García-Prada and Jacques Hurtubise and Steven Rayan},
  journal= {arXiv preprint arXiv:1810.12376},
  year   = {2020}
}

Comments

17 pages

R2 v1 2026-06-23T04:56:41.834Z