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

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.

Added references, fixed typos

References in corpus (1)

• Motivic decompositions of moduli spaces of vector bundles on curves