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An overview of knot Floer homology (Q5136623)

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scientific article; zbMATH DE number 7278414

Language	Label	Description	Also known as
English	An overview of knot Floer homology	scientific article; zbMATH DE number 7278414

Statements

scholarly article

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An overview of knot Floer homology (English)

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Peter S. Ozsváth

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Proceedings of Symposia in Pure Mathematics

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publication date

27 November 2020

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full work available at URL

https://arxiv.org/abs/1706.07729

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MaRDI profile type

MaRDI publication profile

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COMPUTATIONS OF HEEGAARD-FLOER KNOT HOMOLOGY

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On Khovanov's categorification of the Jones polynomial

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Nonorientable slice genus can be arbitrarily large

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A link surgery spectral sequence in monopole Floer homology

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On the Upsilon invariant of cable knots

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Parameterizations of 1-Bridge Torus Knots

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Applications of Donaldson's theorems to classical knot concordance, homology 3-spheres and property P

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Equivalence of Heegaard Floer homology and embedded contact homology via open book decompositions

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Embedding knots and links in an open book. I: Basic properties

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A generalized bridge number for links in 3-manifolds

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An application of gauge theory to four dimensional topology

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Irrationality and the h-cobordism conjecture

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Polynomial invariants for smooth four-manifolds

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The Seiberg-Witten equations and 4-manifold topology

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Lefschetz pencils on symplectic manifolds.

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Self-dual instantons and holomorphic curves

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Arc-presentations of links: Monotonic simplification

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Invariants in contact topology

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On symplectic fillings

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On the upsilon invariant and satellite knots

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Definite 4-manifolds

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An instanton-invariant for 3-manifolds

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Morse theory for Lagrangian intersections

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Transversality in elliptic Morse theory for the symplectic action

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Man and machine thinking about the smooth 4-dimensional Poincaré conjecture

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The Seiberg-Witten equations and four-manifolds with boundary

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Foliations and the topology of 3-manifolds

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Knot Floer homology detects genus-one fibred knots

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Knot Floer homology of \((1,1)\)-knots

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Irreducible 4-manifolds need not be complex

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The lens space realization problem

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Pseudo holomorphic curves in symplectic manifolds

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Correction to the article ``An infinite-rank summand of topologically slice knots''

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Holomorphic discs and sutured manifolds

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The sutured Floer homology polytope

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A categorification of the Jones polynomial

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Matrix factorizations and link homology

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Quivers, Floer cohomology, and braid group actions

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Homological Algebra of Mirror Symmetry

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On manifolds homeomorphic to \({\mathbb{C}}P^ 2\#8\overline{{\mathbb{C}}P}^ 2\)

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Khovanov homology is an unknot-detector

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Gauge theory for embedded surfaces. I

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Embedded surfaces and the structure of Donaldson's polynomial invariants

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Scalar curvature and the Thurston norm

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Knots, sutures, and excision

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Monopoles and lens space surgeries

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HF=HM. I: Heegaard Floer homology and Seiberg-Witten Floer homology

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An endomorphism of the Khovanov invariant

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Invariants of knot cobordism

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A cylindrical reformulation of Heegaard Floer homology

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Heegaard Floer homology as morphism spaces

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Tour of bordered Floer theory

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Computing \(\widehat {HF}\) by factoring mapping

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Bimodules in bordered Heegaard Floer homology

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Bordered Heegaard Floer homology

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Computations of the Ozsvath-Szabo knot concordance invariant

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Notes on the knot concordance invariant upsilon

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Khovanov-Seidel quiver algebras and Ozsváth-Szabó's bordered theory

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Seiberg-Witten Floer stable homotopy type of three-manifolds with \(b_1=0\)

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On the Khovanov and knot Floer homologies of quasi-alternating links

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A combinatorial description of knot Floer homology

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On combinatorial link Floer homology

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Equivariant Seiberg-Witten Floer homology

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Morse Theory. (AM-51)

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Singular Points of Complex Hypersurfaces. (AM-61)

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Transverse knots distinguished by knot Floer homology

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Knot Floer homology detects fibred knots

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Unoriented Knot Floer Homology and the Unoriented Four-Ball Genus

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Bordered knot algebras with matchings

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Heegaard Floer homology and alternating knots

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Knot Floer homology and the four-ball genus

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Holomorphic disks and genus bounds

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Holomorphic disks and knot invariants

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Holomorphic disks and topological invariants for closed three-manifolds

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Holomorphic triangle invariants and the topology of symplectic four-manifolds

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On knot Floer homology and lens space surgeries

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Holomorphic disks, link invariants and the multi-variable Alexander polynomial

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Knot Floer homology and integer surgeries

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Knot Floer homology and rational surgeries

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Kauffman states, bordered algebras, and a bigraded knot invariant

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Concordance homomorphisms from knot Floer homology

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Legendrian knots, transverse knots and combinatorial Floer homology

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Hamiltonian handleslides for Heegaard Floer homology

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Combinatorial tangle Floer homology

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Floer homology of surgeries on two-bridge knots

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Khovanov homology and the slice genus

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The Spectral Flow and the Maslov Index

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Grid diagrams and the Ozsváth-Szabó tau-invariant

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An algorithm for computing some Heegaard Floer homologies

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Fukaya categories and Picard-Lefschetz theory

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Homotopy Associativity of H-Spaces. I

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Simply-connected irreducible 4-manifolds with no symplectic structures

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Arbitrary N-vortex solutions to the first order Ginzburg-Landau equations

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Casson's invariant and gauge theory

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The Seiberg-Witten invariants and symplectic forms

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More constraints on symplectic forms from Seiberg-Witten invariants

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SW ⇒ Gr: From the Seiberg-Witten equations to pseudo-holomorphic curves

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Lagrangian boundary conditions for anti-self-dual instantons and the Atiyah-Floer conjecture

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Monopoles and four-manifolds

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Combinatorial proofs in bordered Heegaard Floer homology

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Identifiers

zbMATH Open document ID

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10.1090/pspum/099/01742

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:5136623

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