The smooth 4-genus of (the rest of) the prime knots through 12 crossings

DOI10.1142/S021821652250081XzbMath1505.57005arXiv2112.14925OpenAlexW4295127322WikidataQ114072862 ScholiaQ114072862MaRDI QIDQ5051346

Mark Brittenham, Susan M. Hermiller

Publication date: 23 November 2022

Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.14925

zbMATH Keywords

signaturegenus one concordancesmooth 4-genus

Mathematics Subject Classification ID

Knot theory (57K10) Invariants of 3-manifolds (including skein modules, character varieties) (57K31)

Related Items (1)

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Uses Software

• GAP
• SageMath
• KnotInfo

Cites Work

• Khovanov homology and the slice genus
• Knot Floer homology and rational surgeries
• The sutured Floer homology polytope
• Scalar curvature and the Thurston norm
• The geometry of the knot concordance space
• The orientation of Yang-Mills moduli spaces and 4-manifold topology
• The concordance genus of knots
• Holomorphic disks and knot invariants
• Holomorphic disks and genus bounds
• The Conway knot is not slice
• Optimal cobordisms between torus knots
• Knoten und Vollringe
• A Counterexample to the Bernhard–Jablan Unknotting Conjecture
• Determining the doubly slice genera of prime knots with up to 12 crossings
• The four-genus of connected sums of torus knots
• Genus One Cobordisms Between Torus Knots
• On a Certain Numerical Invariant of Link Types
• On Calculating the Slice Genera of 11- and 12-Crossing Knots
• The Next 350 Million Knots

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