Strongly invertible knots, equivariant slice genera, and an equivariant algebraic concordance group

DOI10.1112/jlms.12732zbMath1527.57004arXiv2208.11571OpenAlexW4323256140WikidataQ123277527 ScholiaQ123277527MaRDI QIDQ6134746

Mark Powell, Allison N. Miller

Publication date: 23 August 2023

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2208.11571

zbMATH Keywords

Blanchfield formstrongly invertible knotsequivariant algebraic concordanceequivariant slice genus

Mathematics Subject Classification ID

Embeddings and immersions in topological manifolds (57N35) Equivariant cobordism (57R85) Cobordism and concordance in topological manifolds (57N70) Knot theory (57K10)

Related Items (2)

Equivariant knots and knot Floer homology ⋮ Slice knots and knot concordance

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A second order algebraic knot concordance group
• Primary decomposition and the fractal nature of knot concordance
• Topological knots and knot cobordism
• Intersection theory of manifolds with operators with applications to knot theory
• Hermitian forms on link modules
• Knot concordance and higher-order Blanchfield duality
• Knot concordance, Whitney towers and \(L^2\)-signatures
• Twisted Blanchfield pairings and decompositions of 3-manifolds
• Eta invariants as sliceness obstructions and their relation to Casson-Gordon invariants
• Polynomials of invertible knots
• Seifert forms and concordance
• Linear independence of topologically slice knots in the smooth cobordism group
• Stabilization distance between surfaces
• Two-solvable and two-bipolar knots with large four-genera
• Characterisation of homotopy ribbon discs
• Concordance homomorphisms from knot Floer homology
• Singularities of 2-spheres in 4-space and cobordism of knots
• Knot cobordism groups in codimension two
• Transformations of finite period
• Transformations of finite period. II
• New examples of non–slice, algebraically slice knots
• The four-genus of a link, Levine–Tristram signatures and satellites
• Twisted Blanchfield Pairings and Symmetric Chain Complexes
• THE ALGEBRAIC CONCORDANCE ORDER OF A KNOT
• KNOTS WHICH ARE NOT CONCORDANT TO THEIR REVERSES
• Knot Modules. I
• A Simple Proof that the Concordance Group of Algebraically Slice Knots is Infinitely Generated
• Blanchfield Duality and Simple Knots
• Unraveling the integral knot concordance group
• The Effect of Infecting Curves on Knot Concordance
• Primary decomposition in the smooth concordance group of topologically slice knots
• A calculation of Blanchfield pairings of 3-manifolds and knots
• Equivariant 4‐genera of strongly invertible and periodic knots
• The equivariant concordance group is not abelian
• Corks, involutions, and Heegaard Floer homology

This page was built for publication: Strongly invertible knots, equivariant slice genera, and an equivariant algebraic concordance group