Knot Floer homology obstructs ribbon concordance

DOI10.4007/annals.2019.190.3.5zbMath1432.57021arXiv1902.04050OpenAlexW2982496727MaRDI QIDQ2334868

Ian Zemke

Publication date: 8 November 2019

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.04050

zbMATH Keywords

concordanceSeifert genusknot Floer homologyribbon concordance

Mathematics Subject Classification ID

Floer homology (57R58) Knot theory (57K10) Homology theories in knot theory (Khovanov, Heegaard-Floer, etc.) (57K18)

Related Items

Link homology theories and ribbon concordances, Constructions of Lagrangian Cobordisms, On Khovanov Homology and Related Invariants, Knot cobordism and Lee’s perturbation of Khovanov homology, Ribbon distance and Khovanov homology, Homotopy ribbon concordance, Blanchfield pairings, and twisted Alexander polynomials, Ribbon homology cobordisms, Split link detection for sl(P)$\mathfrak {sl}(P)$ link homology in characteristic P$P$, Homotopy functoriality for Khovanov spectra, Categorical lifting of the Jones polynomial: a survey, Ribbon concordance of knots is a partial ordering, Khovanov homology and cobordisms between split links, The cosmetic crossing conjecture for split links, Slice knots and knot concordance, Doubly slice knots and obstruction to Lagrangian concordance, A survey of the homology cobordism group, Khovanov homology and ribbon concordances, Nonorientable link cobordisms and torsion order in Floer homologies, Unfolded Seiberg-Witten Floer spectra. II: Relative invariants and the gluing theorem, Remarks on the minimalities of two-bridge knots in the ribbon concordance poset, Homology cobordism, knot concordance, and Heegaard Floer homology, Homotopy ribbon concordance and Alexander polynomials, Ascent concordance, Ribbon cobordisms between lens spaces, Instantons and some concordance invariants of knots, Knot Floer homology and relative adjunction inequalities, Critical point counts in knot cobordisms: abelian and metacyclic invariants

Cites Work

• Obstructions to Lagrangian concordance
• Legendrian knots and exact Lagrangian cobordisms
• Concordance maps in knot Floer homology
• Some Novikov rings that are von Neumann finite and knot-like groups.
• Moving basepoints and the induced automorphisms of link Floer homology
• Holomorphic disks, link invariants and the multi-variable Alexander polynomial
• Genus is superadditive under band connected sum
• Ribbon concordance of knots in the 3-sphere
• On knot-like groups and ribbon concordance
• On the geography and botany of knot Floer homology
• Computing cobordism maps in link Floer homology and the reduced Khovanov TQFT
• Holomorphic disks and topological invariants for closed three-manifolds
• Holomorphic disks and knot invariants
• Holomorphic disks and genus bounds
• Contact handles, duality, and sutured Floer homology
• Smooth spheres in \({\mathbb{R}}^ 4\) with four critical points are standard
• Quasistabilization and basepoint moving maps in link Floer homology
• Link cobordisms and absolute gradings on link Floer homology
• Knot Floer homology detects fibred knots
• Floer homology and surface decompositions
• Cobordisms of sutured manifolds and the functoriality of link Floer homology
• Some non-collarable slices of Lagrangian surfaces
• Knot Floer homology detects genus-one fibred knots
• Knots, Groups and 3-Manifolds (AM-84)
• Band-sums are ribbon concordant to the connected sum
• A note on genera of band sums that are fibered
• Link cobordisms and functoriality in link Floer homology