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arXiv · 2201.09315

On multiple cover formula for local K3 gerbes

Yunfeng Jiang·Hsian-Hua Tseng
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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.

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Yunfeng Jiang, Hsian-Hua Tseng. 2022-01-23. On multiple cover formula for local K3 gerbes. https://arxiv.org/abs/2201.09315

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