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Skew-rack cocycle
invariants of closed $3$-manifolds
Takefumi Nosaka |
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Algebraic & Geometric Topology 26 (2026) 1451–1464
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DOI: 10.2140/agt.2026.26.1451
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Abstract |
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We establish a new approach to obtain 3-manifold invariants by means of Dehn surgery. In this approach, we introduce skew-racks with good involution and property FR, and define cocycle invariants as 3-manifold invariants. |
Keywords
$3$-manifolds, surgery, knots, birack
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Mathematical Subject Classification
Primary: 16T25, 19J25, 20J06, 57K31
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References |
Publication
Received: 20 May 2023
Revised: 16 August 2024
Accepted: 19 April 2025
Published: 25 April 2026
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Authors |
| Takefumi Nosaka | |
| Department of Mathematics Tokyo Institute of Technology Tokyo Japan |
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| © 2026 MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY). |
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