3-manifolds and Vafa-Witten theory
| Autor: | Gukov, Sergei, Sheshmani, Artan, Yau, Shing-Tung |
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| Rok vydání: | 2022 |
| Předmět: | |
| Zdroj: | Advances in Theoretical and Mathematical Physics Vol.27, no.2. (2023) |
| Druh dokumentu: | Working Paper |
| Popis: | We initiate explicit computations of Vafa-Witten invariants of 3-manifolds, analogous to Floer groups in the context of Donaldson theory. In particular, we explicitly compute the Vafa-Witten invariants of 3-manifolds in a family of concrete examples relevant to various surgery operations (the Gluck twist, knot surgeries, log-transforms). We also describe the structural properties that are expected to hold for general 3-manifolds, including the modular group action, relation to Floer homology, infinite-dimensionality for an arbitrary 3-manifold, and the absence of instantons. Comment: 27 pages, 5 figures |
| Databáze: | arXiv |
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