Ribbon homology cobordisms

DOI10.1016/j.aim.2022.108580OpenAlexW4288365593MaRDI QIDQ2675109

Tye Lidman, Aliakbar Daemi, C.-M. Michael Wong, David Shea Vela-Vick

Publication date: 20 September 2022

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.09721

zbMATH Keywords

Floer homologyDehn surgerycharacter varietieshomology cobordismThurston geometriesribbon concordance

Mathematics Subject Classification ID

Fundamental group, presentations, free differential calculus (57M05) Floer homology (57R58) Other types of cobordism (57R90) Invariants of 3-manifolds (including skein modules, character varieties) (57K31) Homology theories in knot theory (Khovanov, Heegaard-Floer, etc.) (57K18)

Related Items (10)

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 ⋮ A survey of the homology cobordism group ⋮ Nonorientable link cobordisms and torsion order in Floer homologies ⋮ Null-homotopic knots have Property R ⋮ Dehn surgery and nonseparating two-spheres ⋮ Unfolded Seiberg-Witten Floer spectra. II: Relative invariants and the gluing theorem ⋮ On meridian-traceless \(\mathrm{SU}(2)\)-representations of link groups

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Obstructions to Lagrangian concordance
• Embedded contact homology and Seiberg-Witten Floer cohomology. V.
• Khovanov homology is an unknot-detector
• Seiberg-Witten equations, end-periodic Dirac operators, and a lift of Rohlin's invariant
• Excellent 1-manifolds in compact 3-manifolds
• Differentiable structures on punctured 4-manifolds
• Elementary structure of real algebraic varieties
• Holomorphic discs and sutured manifolds
• Knots, sutures, and excision
• On proper powers in free products and Dehn surgery
• Ribbon concordance of knots in the 3-sphere
• The classification of simply connected manifolds of positive scalar curvature
• Scharlemann's manifold is standard
• On the Floer homology of plumbed three-manifolds
• Equivariant aspects of Yang-Mills Floer theory
• A splitting theorem for the Seiberg-Witten invariant of a homology \(S^1\times S^3\)
• Stein fillings and \(\operatorname{SU}(2)\) representations
• Holomorphic disks and topological invariants for closed three-manifolds
• Holomorphic disks and three-manifold invariants: properties and applications
• An instanton-invariant for 3-manifolds
• Absolutely graded Floer homologies and intersection forms for four-manifolds with boundary
• Holomorphic disks and knot invariants
• Floer homology of connected sum of homology 3-spheres
• Equivariant Floer theory and gluing Donaldson polynomials
• Nonseparating spheres and twisted Heegaard Floer homology
• Knot Floer homology and strongly homotopy-ribbon concordances
• Link homology theories and ribbon concordances
• \(SU(2)\)-cyclic surgeries and the pillowcase
• Ribbon distance and Khovanov homology
• Chern-Simons functional and the homology cobordism group
• HF=HM. I: Heegaard Floer homology and Seiberg-Witten Floer homology
• A graph TQFT for hat Heegaard Floer homology
• Knot Floer homology obstructs ribbon concordance
• Finite knot surgeries and Heegaard Floer homology
• Involutive Heegaard Floer homology
• Topological rigidity for non-aspherical manifolds
• On L-spaces and left-orderable fundamental groups
• Heegaard-Floer homology of broken fibrations over the circle
• Holomorphic triangles and invariants for smooth four-manifolds
• 3-manifold groups
• Seifert manifolds
• Cobordisms of sutured manifolds and the functoriality of link Floer homology
• Instantons and odd Khovanov homology
• Knot homology groups from instantons
• Pin(2)-Equivariant Seiberg-Witten Floer homology and the Triangulation Conjecture
• Instanton Homology of Seifert Fibred Homology Three Spheres
• THE SOLUTION OF SETS OF EQUATIONS IN GROUPS
• Representations of Knot Groups in SU(2)
• ADDING RELATIONS TO INSTANTON HOMOLOGY GROUPS OF SEIFERT FIBERED HOMOLOGY SPHERES
• Topological methods to compute Chern-Simons invariants
• Bordered Floer homology and existence of incompressible tori in homology spheres
• Equivalence of Heegaard Floer homology and embedded contact homology via open book decompositions
• Duality and mapping tori in Heegaard Floer homology
• Khovanov homology and ribbon concordances
• Knot cobordisms, bridge index, and torsion in Floer homology
• The Geometries of 3-Manifolds
• Connected sums and involutive knot Floer homology
• Link cobordisms and functoriality in link Floer homology
• Instantons and some concordance invariants of knots

This page was built for publication: Ribbon homology cobordisms