Holomorphic disks and link invariants

Abstract

We define a Floer-homology invariant for links in $S^3$, and study its properties.

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References in corpus (2)

• Floer homology and knot complements
• Khovanov homology and the slice genus

Cited by in corpus (90)

• Bordered Heegaard Floer homology: Invariance and pairing
• Concordance homomorphisms from knot Floer homology
• Floer homology and surface decompositions
• Legendrian knots, transverse knots and combinatorial Floer homology
• Cobordisms of sutured manifolds and the functoriality of link Floer homology
• Link Floer homology detects the Thurston norm
• Heegaard Floer homology and integer surgeries on links
• The decategorification of sutured Floer homology
• Link cobordisms and functoriality in link Floer homology
• Moving basepoints and the induced automorphisms of link Floer homology
• A combinatorial spanning tree model for knot Floer homology
• The sutured Floer homology polytope
• On the equivalence of Legendrian and transverse invariants in knot Floer homology
• Connected sums and involutive knot Floer homology
• Khovanov homology, sutured Floer homology, and annular links
• A flexible construction of equivariant Floer homology and applications
• Quasi-stabilization and basepoint moving maps in link Floer homology
• Knot cobordisms, bridge index, and torsion in Floer homology
• $L$-space surgeries on links
• Sutured Floer homology and invariants of Legendrian and transverse knots
• Knot commensurability and the Berge conjecture
• A cube of resolutions for knot Floer homology
• A rank inequality for the knot Floer homology of double branched covers
• $\tau$-invariants for knots in rational homology spheres
• Dehn surgery, rational open books and knot Floer homology
• Links of plane curve singularities are L-space links
• Contact handles, duality, and sutured Floer homology
• The link concordance invariant from Lee homology
• Combinatorial computation of the motivic Poincare series
• Quantum gl(1|1) and tangle Floer homology
• Knot Floer homology and the unknotting number
• Floer homology and singular knots
• Duality and mapping tori in Heegaard Floer homology
• Quantitative Heegaard Floer cohomology and the Calabi invariant
• Manifolds with small Heegaard Floer ranks
• Immersed curves in Khovanov homology
• Heegaard Floer homology of surgeries on two-bridge links
• Peculiar modules for 4-ended tangles
• Combinatorial tangle Floer homology
• Homological actions on sutured Floer homology
• The cosmetic crossing conjecture for split links
• Grid diagrams and Manolescu's unoriented skein exact triangle for knot Floer homology
• Heegaard Floer homology of spatial graphs
• Functoriality of the EH class and the LOSS invariant under Lagrangian concordances
• Algebras with matchings and knot Floer homology
• Heegaard Floer homology of L-space links with two components
• Instanton Floer homology, sutures, and Euler characteristics
• Tangle Floer homology and cobordisms between tangles
• Knot Floer Homology and Khovanov-Rozansky Homology for Singular Links
• Projective Naturality in Heegaard Floer Homology
• Homological Knot Invariants from Mirror Symmetry
• Comultiplication in link Floer homology and transversely non-simple links
• Combinatorial Heegaard Floer homology and nice Heegaard diagrams
• Knot lattice homology in L-spaces
• Link Floer homology also detects split links
• A connected sum formula for involutive Heegaard Floer homology
• Four genera of links and Heegaard Floer homology
• Rank Inequalities on Knot Floer Homology of Periodic Knots
• Hyperbolic 3-manifolds admitting no fillable contact structures
• L-space knots have no essential Conway spheres
• Knot Floer homology, link Floer homology and link detection
• Thin links and Conway spheres
• The Thurston polytope for four-stranded pretzel links
• Knots in lattice homology
• A combinatorial description of the $U^2=0$ version of Heegaard Floer homology
• Locally equivalent Floer complexes and unoriented link cobordisms
• Rank Bounds in Link Floer Homology and Detection Results
• Kauffman states and Heegaard diagrams for tangles
• A categorification of the Alexander polynomial in embedded contact homology
• Skein relations for tangle Floer homology
• Transverse and Legendrian invariants of cables in combinatorial link Floer homology
• Heegaard-Floer homology and string links
• Heegaard Floer correction terms and rational genus bounds
• Trivalent vertices and bordered knot Floer homology in the standard basis
• A self-pairing theorem for tangle Floer homology
• L-space surgeries on 2-component L-space links
• A knot Floer stable homotopy type
• A Simplification of Combinatorial Link Floer Homology
• Framed Floer Homology
• A friendly introduction to the bordered contact invariant
• Holomorphic polygons and the bordered Heegaard Floer homology of link complements
• Some applications of Gabai's internal hierarchy
• Invariants of annular links, cobordisms and transverse links from combinatorial link Floer complex
• Heegaard Floer homology and plane curves with non-cuspidal singularities
• Heegaard Floer Homologies: lecture notes
• Nearly fibered links with genus one
• Introduction to sutured Floer homology
• Obstruction Complexes in Grid Homology
• On grid homology for lens space links: combinatorial invariance and integral coefficients
• Bordered Floer Homology of (2,2n)-Torus Link Complement