English

On multiple cover formula for local K3 gerbes

Algebraic Geometry 2022-02-22 v1

Abstract

We generalize the multiple cover formula of Y. Toda (proved by Maulik-Thomas) for counting invariants for semistable coherent sheaves on local K3 surfaces to semistable twisted sheaves over twisted local K3 surfaces. The formula has an application to prove any rank S-duality conjecture for K3 surfaces.

Keywords

Cite

@article{arxiv.2201.09315,
  title  = {On multiple cover formula for local K3 gerbes},
  author = {Yunfeng Jiang and Hsian-Hua Tseng},
  journal= {arXiv preprint arXiv:2201.09315},
  year   = {2022}
}

Comments

The content of this paper was part of the original paper on arXiv:2003.09562

R2 v1 2026-06-24T08:59:13.523Z