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arXiv · 2108.13353

Semiorthogonal decomposition of $\mathrm{D}^b(\mathrm{Bun}_2^L)$

Kai Xu·Shing-Tung Yau
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Abstract

We study the derived category of coherent sheaves on various versions of moduli space of vector bundles on curves by the Borel-Weil-Bott theory for loop groups and $\Theta$-stratification, and construct a semiorthogonal decomposition with blocks given by symmetric powers of the curve.

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Kai Xu, Shing-Tung Yau. 2021-08-30. Semiorthogonal decomposition of $\mathrm{D}^b(\mathrm{Bun}_2^L)$. https://arxiv.org/abs/2108.13353

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