Semiorthogonal decomposition of $\mathrm{D}^b(\mathrm{Bun}_2^L)$
Algebraic Geometry
2021-09-02 v2
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 -stratification, and construct a semiorthogonal decomposition with blocks given by symmetric powers of the curve.
Cite
@article{arxiv.2108.13353,
title = {Semiorthogonal decomposition of $\mathrm{D}^b(\mathrm{Bun}_2^L)$},
author = {Kai Xu and Shing-Tung Yau},
journal= {arXiv preprint arXiv:2108.13353},
year = {2021}
}
Comments
Added references, fixed typos