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arXiv · 1903.11477

The Tanaka-Thomas's Vafa-Witten invariants via surface Deligne-Mumford stacks

Yunfeng Jiang·Promit Kundu
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Abstract

We provide a definition of Vafa-Witten invariants for projective surface Deligne-Mumford stacks, generalizing the construction of Tanaka-Thomas on the Vafa-Witten invariants for projective surfaces inspired by the S-duality conjecture. We give calculations for a root stack over a general type quintic surface, and quintic surfaces with ADE singularities. The relationship between the Vafa-Witten invariants of quintic surfaces with ADE singularities and the Vafa-Witten invariants of their crepant resolutions is also discussed.

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Yunfeng Jiang, Promit Kundu. 2019-03-27. The Tanaka-Thomas's Vafa-Witten invariants via surface Deligne-Mumford stacks. https://arxiv.org/abs/1903.11477

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