The stable 4-genus of knots

DOI10.2140/agt.2010.10.2191zbMath1213.57015arXiv0904.3054OpenAlexW2964147452MaRDI QIDQ600812

Charles Livingston

Publication date: 2 November 2010

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0904.3054

zbMATH Keywords

torus knotknot concordance groupalgebraically slice knotOzsváth-Szabó invariant4-genus of a knotCasson-Gordon invariantKhovanov-Rasmussen invariantknot signature

Mathematics Subject Classification ID

Floer homology (57R58) Cobordism and concordance in topological manifolds (57N70) Cobordism and concordance in PL-topology (57Q60)

Related Items (8)

On classical upper bounds for slice genera ⋮ The four-genus of connected sums of torus knots ⋮ The geometry of the knot concordance space ⋮ Concordance group and stable commutator length in braid groups ⋮ On the values taken by slice torus invariants ⋮ Shake genus and slice genus ⋮ A lower bound on the stable 4-genus of knots ⋮ On the topological 4-genus of torus knots

Cites Work

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• The Casson-Gordon invariant and link concordance
• Knot Floer homology and the four-ball genus
• Singularities of 2-spheres in 4-space and cobordism of knots
• Invariants of knot cobordism
• Stable commutator length is rational in free groups
• SLICE KNOTS IN S³
• On a Certain Numerical Invariant of Link Types

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