The equivalence of two Pin(2)-equivariant Seiberg-Witten Floer homologies
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866910859271340032 |
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| author | Pandit, Nikhil |
| author_facet | Pandit, Nikhil |
| contents | We show that for a rational homology 3-sphere $Y$ equipped with a self-conjugate spin$^c$-structure $\mathfrak s$, the $\operatorname{Pin}(2)$-equivariant monopole Floer homology of $(Y,\mathfrak s)$, as defined by Lin, is isomorphic to the $\operatorname{Pin}(2)$-equivariant Seiberg-Witten Floer homology of $(Y,\mathfrak s)$ defined by Manolescu. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_03063 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The equivalence of two Pin(2)-equivariant Seiberg-Witten Floer homologies Pandit, Nikhil Geometric Topology 57R58, 57R57 We show that for a rational homology 3-sphere $Y$ equipped with a self-conjugate spin$^c$-structure $\mathfrak s$, the $\operatorname{Pin}(2)$-equivariant monopole Floer homology of $(Y,\mathfrak s)$, as defined by Lin, is isomorphic to the $\operatorname{Pin}(2)$-equivariant Seiberg-Witten Floer homology of $(Y,\mathfrak s)$ defined by Manolescu. |
| title | The equivalence of two Pin(2)-equivariant Seiberg-Witten Floer homologies |
| topic | Geometric Topology 57R58, 57R57 |
| url | https://arxiv.org/abs/2503.03063 |