On sums of torus knots concordant to alternating knots

DOI10.1112/blms.12228zbMath1425.57003arXiv1712.05252OpenAlexW2773874335MaRDI QIDQ5229529

Antonio Alfieri, Paolo Aceto

Publication date: 15 August 2019

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

Full work available at URL: https://arxiv.org/abs/1712.05252

zbMATH Keywords

torus knotsalternating knotsHeegard-Floer homologyconcordance of knots

Mathematics Subject Classification ID

Related Items (5)

Braids, Fibered Knots, and Concordance Questions ⋮ Remarks on the minimalities of two-bridge knots in the ribbon concordance poset ⋮ Rational cobordisms and integral homology ⋮ Upsilon-type concordance invariants ⋮ Concordances from differences of torus knots to $L$-space knots

Cites Work

• Cosmetic surgeries on knots in \(S^3\)
• Notes on the knot concordance invariant upsilon
• Lattice cohomology and rational cuspidal curves
• On the genus of the alternating knot. I
• Moving basepoints and the induced automorphisms of link Floer homology
• Knot Floer homology and the four-ball genus
• On the Floer homology of plumbed three-manifolds
• Heegaard Floer homology and alternating knots
• Holomorphic disks and topological invariants for closed three-manifolds
• Holomorphic disks and knot invariants
• Upsilon-type concordance invariants
• Involutive Heegaard Floer homology
• Concordance homomorphisms from knot Floer homology
• Knot concordances and alternating knots
• On cobordisms between knots, braid index, and the upsilon-invariant
• Holomorphic triangles and invariants for smooth four-manifolds
• A characterization of the Z<sup xmlns:m="http://www.w3.org/1998/Math/MathML" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">n</sup> ⊕Z(<i>δ</i>) lattice and definite nonunimodular intersection forms
• A survey on Heegaard Floer homology and concordance
• Signatures of Covering Links
• Links with non-trivial Alexander polynomial which are topologically concordant to the Hopf link
• Secondary Upsilon invariants of knots
• A note on knot concordance and involutive knot Floer homology
• Connected sums and involutive knot Floer homology
• HEEGAARD FLOER HOMOLOGY AND RATIONAL CUSPIDAL CURVES

This page was built for publication: On sums of torus knots concordant to alternating knots