Surgery formulas for Seiberg-Witten invariants and family Seiberg-Witten invariants
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866910699936022528 |
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| author | Qiu, Haochen |
| author_facet | Qiu, Haochen |
| contents | We prove a surgery formula for the ordinary Seiberg-Witten invariants, and surgery formulas for the families Seiberg-Witten invariants of families of $4$-manifolds obtained through fibrewise surgery. Our formula expresses the Seiberg-Witten invariants of the manifold after the surgery, in terms of the original Seiberg-Witten moduli space cut down by a cohomology class in the configuration space. We use these surgery formulas to study how a surgery can preserve or produce exotic phenomena. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_10392 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Surgery formulas for Seiberg-Witten invariants and family Seiberg-Witten invariants Qiu, Haochen Geometric Topology We prove a surgery formula for the ordinary Seiberg-Witten invariants, and surgery formulas for the families Seiberg-Witten invariants of families of $4$-manifolds obtained through fibrewise surgery. Our formula expresses the Seiberg-Witten invariants of the manifold after the surgery, in terms of the original Seiberg-Witten moduli space cut down by a cohomology class in the configuration space. We use these surgery formulas to study how a surgery can preserve or produce exotic phenomena. |
| title | Surgery formulas for Seiberg-Witten invariants and family Seiberg-Witten invariants |
| topic | Geometric Topology |
| url | https://arxiv.org/abs/2411.10392 |