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| Main Author: | |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2303.12995 |
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| _version_ | 1866918483145523200 |
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| author | Nosaka, Takefumi |
| author_facet | Nosaka, Takefumi |
| contents | We establish a new approach to obtain 3-manifold invariants via Dehn surgery. For this, we introduce skew-racks with good involution and Property FR, and define cocycle invariants as 3-manifold invariants. We also define some link invariants in the 3-sphere which are invariant up to link-homotopic. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_12995 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Skew-rack cocycle invariants of closed 3-manifolds Nosaka, Takefumi Geometric Topology 57M27, 20J06, 16T25, 19J25 We establish a new approach to obtain 3-manifold invariants via Dehn surgery. For this, we introduce skew-racks with good involution and Property FR, and define cocycle invariants as 3-manifold invariants. We also define some link invariants in the 3-sphere which are invariant up to link-homotopic. |
| title | Skew-rack cocycle invariants of closed 3-manifolds |
| topic | Geometric Topology 57M27, 20J06, 16T25, 19J25 |
| url | https://arxiv.org/abs/2303.12995 |