On multiple cover formula for local K3 gerbes

Published 23 Jan 2022 in math.AG | (2201.09315v1)

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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