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.

arXiv commentAdded references, fixed typos

References in corpus (7)

• Semiorthogonal decomposition for algebraic varieties
• Derived categories of cubic fourfolds
• Derived categories of curves as components of Fano manifolds
• On the structure of instability in moduli theory
• Nonexistence of semiorthogonal decompositions and sections of the canonical bundle
• Remarks on motives of moduli spaces of rank 2 vector bundles on curves
• Motivic decompositions of moduli spaces of vector bundles on curves