A note on the involutive invariants of splices
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866910981114822656 |
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| author | Hendricks, Kristen Stoffregen, Matthew Zemke, Ian |
| author_facet | Hendricks, Kristen Stoffregen, Matthew Zemke, Ian |
| contents | A natural family of potentially 2-torsion elements in the integer homology cobordism group consists of splices of knots with their mirrors. We show that such 3-manifolds have locally trivial involutive Floer homology. We show some related families of splices also have locally trivial involutive Floer homology. Our arguments show that many gauge theoretic invariants also vanish on these 3-manifolds. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_02957 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A note on the involutive invariants of splices Hendricks, Kristen Stoffregen, Matthew Zemke, Ian Geometric Topology 57K31, 57K18, 57R58 A natural family of potentially 2-torsion elements in the integer homology cobordism group consists of splices of knots with their mirrors. We show that such 3-manifolds have locally trivial involutive Floer homology. We show some related families of splices also have locally trivial involutive Floer homology. Our arguments show that many gauge theoretic invariants also vanish on these 3-manifolds. |
| title | A note on the involutive invariants of splices |
| topic | Geometric Topology 57K31, 57K18, 57R58 |
| url | https://arxiv.org/abs/2406.02957 |