The link surgery formula and equivariant surgeries
Fuente:
arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866915395283189760 |
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| author | Hendricks, Kristen Mallick, Abhishek Stoffregen, Matthew Zemke, Ian |
| author_facet | Hendricks, Kristen Mallick, Abhishek Stoffregen, Matthew Zemke, Ian |
| contents | We prove an equivariant version of the Heegaard Floer link surgery formula. As a special case, this gives an equivariant knot surgery formula for equivariant knots in $S^3$. Our proof goes by way of a naturality theorem for certain bordered modules described by the last author. As a sample application, we prove the kernel of the forgetful map from the equivariant homology cobordism group to the homology cobordism group contains a $\Z^\infty$-summand. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_12809 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The link surgery formula and equivariant surgeries Hendricks, Kristen Mallick, Abhishek Stoffregen, Matthew Zemke, Ian Geometric Topology 57K10, 57K16, 57K18, 57R58 We prove an equivariant version of the Heegaard Floer link surgery formula. As a special case, this gives an equivariant knot surgery formula for equivariant knots in $S^3$. Our proof goes by way of a naturality theorem for certain bordered modules described by the last author. As a sample application, we prove the kernel of the forgetful map from the equivariant homology cobordism group to the homology cobordism group contains a $\Z^\infty$-summand. |
| title | The link surgery formula and equivariant surgeries |
| topic | Geometric Topology 57K10, 57K16, 57K18, 57R58 |
| url | https://arxiv.org/abs/2507.12809 |