Morse theory and Seiberg-Witten moduli spaces of 3-dimensional cobordisms, I
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arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866917887000707072 |
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| author | Lee, Yi-Jen |
| author_facet | Lee, Yi-Jen |
| contents | Motivated by a variant of Atiyah-Floer conjecture proposed in \cite{L2} and its potential generalizations, we study in this article and its sequel as a first step properties of moduli spaces of Seiberg-Witten equations on a 3-dimensional cobordism with cylindrical ends (CCE) \(Y\), perturbed by closed 2-forms of the form \(r*d\ff+w\), where \(r\geq 1\), where \(\ff\) is a harmonic Morse function with certain linear growth at the ends of \(Y\), and \(w\) is a certain closed 2-form. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_20710 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Morse theory and Seiberg-Witten moduli spaces of 3-dimensional cobordisms, I Lee, Yi-Jen Differential Geometry 57, 53 Motivated by a variant of Atiyah-Floer conjecture proposed in \cite{L2} and its potential generalizations, we study in this article and its sequel as a first step properties of moduli spaces of Seiberg-Witten equations on a 3-dimensional cobordism with cylindrical ends (CCE) \(Y\), perturbed by closed 2-forms of the form \(r*d\ff+w\), where \(r\geq 1\), where \(\ff\) is a harmonic Morse function with certain linear growth at the ends of \(Y\), and \(w\) is a certain closed 2-form. |
| title | Morse theory and Seiberg-Witten moduli spaces of 3-dimensional cobordisms, I |
| topic | Differential Geometry 57, 53 |
| url | https://arxiv.org/abs/2412.20710 |