Moduli of toric principal bundles

Shaoyu Huang; Kiumars Kaveh

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arXiv · 2604.08929

Moduli of toric principal bundles

Shaoyu Huang·Kiumars Kaveh

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Abstract

Let $G$ be a reductive algebraic group. A toric principal $G$-bundle is a principal $G$-bundle over a toric variety together with a torus action commuting with the $G$-action. Extending the Klyachko classification of toric vector bundles, Kaveh-Manon classify toric principal bundles by piecewise linear maps to the (extended) Tits building of $G$. In this paper, we use this classification to construct a moduli space of (framed) toric principal bundles with given total equivariant characteristic class, as a locally closed subvariety of a product of partial flag varieties. This extends the construction of moduli of toric vector bundles by Sam Payne.

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BibTeX RIS

Shaoyu Huang, Kiumars Kaveh. 2026-04-10. Moduli of toric principal bundles. https://arxiv.org/abs/2604.08929

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