Computing cobordism maps in link Floer homology and the reduced Khovanov TQFT

DOI10.1007/s00029-017-0368-9zbMath1397.57026arXiv1503.00665OpenAlexW2964102341MaRDI QIDQ1744788

Marco Marengon, András Juhász

Publication date: 19 April 2018

Published in: Selecta Mathematica. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.00665

zbMATH Keywords

spectral sequenceTQFTKhovanov homologyHeegaard Floer homologyknot cobordism

Mathematics Subject Classification ID

Related Items (10)

Link homology theories and ribbon concordances ⋮ Cobordisms of sutured manifolds and the functoriality of link Floer homology ⋮ On 3-manifolds that are boundaries of exotic 4-manifolds ⋮ Contact handles, duality, and sutured Floer homology ⋮ Concordance maps in HFK− ⋮ Link cobordisms and absolute gradings on link Floer homology ⋮ Concordance surgery and the Ozsváth-Szabó 4-manifold invariant ⋮ On the functoriality of Khovanov-Floer theories ⋮ Transverse invariants and exotic surfaces in the \(4\)-ball ⋮ Knot Floer homology obstructs ribbon concordance

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Khovanov module and the detection of unlinks
• The reduced knot Floer complex
• Concordance maps in knot Floer homology
• On the Heegaard Floer homology of branched double-covers
• Topological quantum field theories
• On the functoriality of the blow-up construction
• Khovanov homology is an unknot-detector
• Holomorphic discs and sutured manifolds
• Moving basepoints and the induced automorphisms of link Floer homology
• Holomorphic disks, link invariants and the multi-variable Alexander polynomial
• The sutured Floer homology polytope
• The contact invariant in sutured Floer homology
• Detecting fibred links in \(S^ 3\)
• Structures de contact sur les fibrés principaux en cercles de dimension trois
• On Khovanov's categorification of the Jones polynomial
• On the classification of tight contact structures. II.
• Defining and classifying TQFTs via surgery
• On the functoriality of Khovanov-Floer theories
• An invariant of link cobordisms from Khovanov homology
• Holomorphic disks and knot invariants
• A categorification of the Jones polynomial
• Khovanov's homology for tangles and cobordisms
• Grid diagrams and Manolescu's unoriented skein exact triangle for knot Floer homology
• Quasistabilization and basepoint moving maps in link Floer homology
• An unoriented skein exact triangle for knot Floer homology
• Floer homology and surface decompositions
• Holomorphic triangles and invariants for smooth four-manifolds
• A cylindrical reformulation of Heegaard Floer homology
• Cobordisms of sutured manifolds and the functoriality of link Floer homology
• Naturality and Mapping Class Groups in Heegaard Floer Homology
• Patterns in Knot Cohomology, I
• Link cobordisms and functoriality in link Floer homology
• On the Khovanov and knot Floer homologies of quasi-alternating links
• Foliations and the topology of 3-manifolds

This page was built for publication: Computing cobordism maps in link Floer homology and the reduced Khovanov TQFT