A satellite formula for real Seiberg-Witten Floer homotopy types
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866916673961852928 |
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| author | Miyazawa, Jin Park, JungHwan Taniguchi, Masaki |
| author_facet | Miyazawa, Jin Park, JungHwan Taniguchi, Masaki |
| contents | We establish a satellite formula for the real Seiberg-Witten Floer homotopy types of knots with odd patterns. Using this, we derive several applications to knot concordance theory. The satellite formula follows from a version of the excision theorem for real Floer homotopy types. Additionally, we show that the concordance invariants arising from real Seiberg-Witten theory depend only on the knot's zero-framed surgery. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_03270 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A satellite formula for real Seiberg-Witten Floer homotopy types Miyazawa, Jin Park, JungHwan Taniguchi, Masaki Geometric Topology We establish a satellite formula for the real Seiberg-Witten Floer homotopy types of knots with odd patterns. Using this, we derive several applications to knot concordance theory. The satellite formula follows from a version of the excision theorem for real Floer homotopy types. Additionally, we show that the concordance invariants arising from real Seiberg-Witten theory depend only on the knot's zero-framed surgery. |
| title | A satellite formula for real Seiberg-Witten Floer homotopy types |
| topic | Geometric Topology |
| url | https://arxiv.org/abs/2504.03270 |