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arXiv · 1810.12376

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

Indranil Biswas·Oscar García-Prada·Jacques Hurtubise·Steven Rayan
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Abstract

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

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Indranil Biswas, Oscar García-Prada, Jacques Hurtubise, Steven Rayan. 2018-10-29. Principal co-Higgs bundles on $\mathbb{P}^1$. https://doi.org/10.1017/s0013091520000024

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