A family of Andrews-Curtis trivializations via 4-manifold trisections

DOI10.1007/s10711-024-00891-6arXiv2304.03196OpenAlexW4391929216MaRDI QIDQ6149940

Alexander Zupan, Ethan Romary

Publication date: 5 March 2024

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2304.03196

zbMATH Keywords

Andrews-Curtis conjecturetrisectionR-link

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Topological methods in group theory (57M07) Homotopy spheres, Poincaré conjecture (57R60) General topology of 4-manifolds (57K40)

Cites Work

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• A potential smooth counterexample in dimension 4 to the Poincaré conjecture, the Schoenflies conjecture, and the Andrews-Curtis conjecture
• Generalized square knots and homotopy \(4\)-spheres
• Conjugacy search problem and the Andrews-Curtis conjecture
• Proposed property 2R counterexamples examined
• Classification of trisections and the Generalized Property R Conjecture
• Balanced Presentations of the Trivial Group
• GENETIC ALGORITHMS AND THE ANDREWS–CURTIS CONJECTURE
• Characterizing Dehn surgeries on links via trisections
• Free Groups and Handlebodies
• Bridge trisections of knotted surfaces in 𝑆⁴

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