Refined sheaf counting on local K3 surfaces
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866913272127553536 |
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| author | Thomas, Richard P. |
| author_facet | Thomas, Richard P. |
| contents | We compute all refined sheaf counting invariants -- Vafa-Witten, reduced DT, stable pairs and Gopakumar-Vafa -- for all classes on local $K3$ surfaces. Along the way we develop rank 0 Vafa-Witten theory on $K3$ surfaces.
An important feature of the calculation is that the ``instanton contribution" -- of sheaves supported scheme theoretically on $S$ -- to any of the invariants depends only on the square of the class, not its divisibility. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_12741 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Refined sheaf counting on local K3 surfaces Thomas, Richard P. Algebraic Geometry High Energy Physics - Theory 14N35 We compute all refined sheaf counting invariants -- Vafa-Witten, reduced DT, stable pairs and Gopakumar-Vafa -- for all classes on local $K3$ surfaces. Along the way we develop rank 0 Vafa-Witten theory on $K3$ surfaces. An important feature of the calculation is that the ``instanton contribution" -- of sheaves supported scheme theoretically on $S$ -- to any of the invariants depends only on the square of the class, not its divisibility. |
| title | Refined sheaf counting on local K3 surfaces |
| topic | Algebraic Geometry High Energy Physics - Theory 14N35 |
| url | https://arxiv.org/abs/2403.12741 |