On Calculating the Slice Genera of 11- and 12-Crossing Knots

DOI10.1080/10586458.2017.1353453zbMath1414.57009arXiv1508.01098OpenAlexW2963532917MaRDI QIDQ5743087

Duncan McCoy, Lukas Lewark

Publication date: 8 May 2019

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.01098

zbMATH Keywords

knotstopological slice genusSeifert formsmooth slice genusDonaldson's diagonalization theoremFreedman's disk theoremTaylor's invariant

Mathematics Subject Classification ID

Related Items (6)

The smooth 4-genus of (the rest of) the prime knots through 12 crossings ⋮ Equivariant 4‐genera of strongly invertible and periodic knots ⋮ Signature and concordance of virtual knots ⋮ A Counterexample to the Bernhard–Jablan Unknotting Conjecture ⋮ Genera of knots in the complex projective plane ⋮ Null-homologous twisting and the algebraic genus

Uses Software

• GAP
• KnotInfo
• Knotscape

Cites Work

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• On the signature of a link
• Gauge theory for embedded surfaces. I
• On classical upper bounds for slice genera
• The orientation of Yang-Mills moduli spaces and 4-manifold topology
• Holomorphic disks and genus bounds
• Invariants of knot cobordism
• On 2-bridge knots with differing smooth and topological slice genera
• Signature of Links
• Foundational Essays on Topological Manifolds, Smoothings, and Triangulations. (AM-88)

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