A general connected sum formula for the families Seiberg-Witten invariant
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866908602613104640 |
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| author | Tomlin, Joshua |
| author_facet | Tomlin, Joshua |
| contents | In ordinary Seiberg-Witten theory, there are well known connected sum formulae such as the vanishing formula and the blow up formula. For families Seiberg-Witten theory, there are results such as Liu's families blow-up formula and Baraglia-Konno's gluing formula, but these have limited uses. In this paper, we prove a general connected sum formula which incorporates these results. This is subsequent work to a previous paper [arXiv:2510.14201] in which we proved a connected sum formula for the Bauer-Furuta invariant. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_17141 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A general connected sum formula for the families Seiberg-Witten invariant Tomlin, Joshua Differential Geometry In ordinary Seiberg-Witten theory, there are well known connected sum formulae such as the vanishing formula and the blow up formula. For families Seiberg-Witten theory, there are results such as Liu's families blow-up formula and Baraglia-Konno's gluing formula, but these have limited uses. In this paper, we prove a general connected sum formula which incorporates these results. This is subsequent work to a previous paper [arXiv:2510.14201] in which we proved a connected sum formula for the Bauer-Furuta invariant. |
| title | A general connected sum formula for the families Seiberg-Witten invariant |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2510.17141 |