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arXiv · 2512.19948

Moduli of bundles and semiorthogonal decomposition

Kai Xu
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Abstract

In this paper we construct semiorthogonal decompositions of moduli of principal bundles on a curve into its symmetric powers, for both the moduli stack of all $G$-bundles and the coarse moduli space of semistable $G$-bundles. The essential ingredients in the proof include Borel-Weil-Bott theory for loop groups, highest weight structure of current group representation, derived $\Theta$-stratification and local-global compatibility of Kac-Moody localization.

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Kai Xu. 2025-12-23. Moduli of bundles and semiorthogonal decomposition. https://arxiv.org/abs/2512.19948

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