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Slice knots and knot concordance (Q6121623)

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scientific article; zbMATH DE number 7809853

Language	Label	Description	Also known as
English	Slice knots and knot concordance	scientific article; zbMATH DE number 7809853

Statements

scholarly article

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Slice knots and knot concordance (English)

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Winter Braids Lecture Notes

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publication date

27 February 2024

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full work available at URL

https://arxiv.org/abs/2311.12168

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zbMATH Keywords

slice knots

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concordance

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filtration

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exotic smooth structures

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MaRDI profile type

MaRDI publication profile

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Ribbon concordance of knots is a partial ordering

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Corks and exotic ribbons in \(B^4\)

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A fake compact contractible 4-manifold

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Pretzel links, mutation, and the slice-ribbon conjecture

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Fibered knots with the same 0-surgery and the slice-ribbon conjecture

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Up to topological concordance, links are strongly quasipositive

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Elliptic surfaces and some simple exotic \(\mathbb{R}^ 4\)'s

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Equivariant 4‐genera of strongly invertible and periodic knots

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Slice implies mutant ribbon for odd 5-stranded pretzel knots

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Injectivity of satellite operators in knot concordance

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On concordances in 3-manifolds

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Knot concordance and homology cobordism

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New constructions of slice links

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Bounds on the von Neumann dimension of \(L^ 2\)-cohomoloy and the Gauss- Bonnet theorem for open manifolds

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

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Structure in the bipolar filtration of topologically slice knots

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The geometry of the knot concordance space

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The structure of the rational concordance group of knots

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Topological minimal genus and \(L^2\)-signatures

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Filtering smooth concordance classes of topologically slice knots

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Knot concordance and higher-order Blanchfield duality

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2-torsion in the <i>n</i> -solvable filtration of the knot concordance group

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Primary decomposition and the fractal nature of knot concordance

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Grope metrics on the knot concordance set

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The bipolar filtration of topologically slice knots

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On equivariant slice knots

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Nonslice linear combinations of iterated torus knots

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Unknotting Information from 4-Manifolds

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Two-solvable and two-bipolar knots with large four-genera

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Stably slice disks of links

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Homology boundary links and Blanchfield forms: Concordance classification and new tangle-theoretic constructions

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Noncommutative knot theory

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Knot concordance, Whitney towers and \(L^2\)-signatures

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Structure in the classical knot concordance group

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Characterisation of homotopy ribbon discs

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Knot concordance and von Neumann \(\rho\)-invariants

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More concordance homomorphisms from knot Floer homology

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The equivariant concordance group is not abelian

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Ribbon homology cobordisms

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Every genus one algebraically slice knot is 1-solvable

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Equivariant knots and knot Floer homology

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Alexander polynomials of equivariant slice and ribbon knots in 𝑆³

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An application of gauge theory to four dimensional topology

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Connections, cohomology and the intersection forms of 4-manifolds

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The orientation of Yang-Mills moduli spaces and 4-manifold topology

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Linear independence of cables in the knot concordance group

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Satellite operators as group actions on knot concordance

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Linear independence of topologically slice knots in the smooth cobordism group

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The degree of the Alexander polynomial is an upper bound for the topological slice genus

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

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Homotopy ribbon concordance, Blanchfield pairings, and twisted Alexander polynomials

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On 2-bridge knots with differing smooth and topological slice genera

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Satellites and concordance of knots in 3–manifolds

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Homotopy ribbon concordance and Alexander polynomials

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The topology of four-dimensional manifolds

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Knots, links, and 4-manifolds

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A universal smoothing of four-space

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The slice-ribbon conjecture for 3-stranded pretzel knots

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An infinite set of exotic \({\mathbb{R}}^ 4\)'s.

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Smooth concordance of topologically slice knots

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Ribbon concordance of knots in the 3-sphere

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Fibered knots and potential counterexamples to the property 2R and slice-ribbon conjectures

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On knots with trivial Alexander polynomial

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Cross-sections of unknotted ribbon disks and algebraic curves

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On Knot Floer Homology and Cabling: 2

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On the nonexistence of elements of Kervaire invariant one

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Instantons, concordance, and Whitehead doubling

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Non-slice linear combinations of algebraic knots

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Topologically slice knots of smooth concordance order two

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Linear independence of rationally slice knots

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Topologically slice knots with nontrivial Alexander polynomial

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Involutive Heegaard Floer homology

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The knot Floer complex and the smooth concordance group

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

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A survey on Heegaard Floer homology and concordance

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Satellites of infinite rank in the smooth concordance group

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Knot Floer homology and relative adjunction inequalities

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A Simple Proof that the Concordance Group of Algebraically Slice Knots is Infinitely Generated

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Distinguishing slice disks using knot Floer homology

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Link homology theories and ribbon concordances

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Classification of simple knots by Blanchfield duality

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Blanchfield Duality and Simple Knots

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Cobordism of Knots and Blanchfield Duality

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Les nœuds de dimensions supérieures

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The topology of 4-manifolds

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Knot reversal acts non-trivially on the concordance group of topologically slice knots

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Twisted knot polynomials: inversion, mutation and concordance

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Non-slice 3-stranded pretzel knots

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Groups of homotopy spheres. I

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The Disc Embedding Theorem

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Deep and shallow slice knots in 4-manifolds

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Foundational Essays on Topological Manifolds, Smoothings, and Triangulations. (AM-88)

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Sliceness of alternating pretzel knots and links

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On the slice-ribbon conjecture for Montesinos knots

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On the slice-ribbon conjecture for pretzel knots

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NONSURJECTIVE SATELLITE OPERATORS AND PIECEWISE-LINEAR CONCORDANCE

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Invariants of knot cobordism

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Knot cobordism groups in codimension two

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Lens spaces, rational balls and the ribbon conjecture

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New quantum obstructions to sliceness

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Upsilon-like concordance invariants from \(\mathfrak{s}\mathfrak{l}_n\) knot cohomology

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A slice genus lower bound from \(sl(n)\) Khovanov-Rozansky homology

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A mixed invariant of nonorientable surfaces in equivariant Khovanov homology

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Khovanov homology and ribbon concordances

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Distinguishing mutant pretzel knots in concordance

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The topological sliceness of 3-strand pretzel knots

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A note on the topological sliceness of some 2-bridge knots

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Homomorphism obstructions for satellite maps

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On manifolds homeomorphic to the 7-sphere

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Morse Theory. (AM-51)

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Nonsimple, Ribbon Fibered Knots

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A generalization of Rasmussen's invariant, with applications to surfaces in some four-manifolds

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Knot traces and concordance

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Stabilization distance between surfaces

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From zero surgeries to candidates for exotic definite 4‐manifolds

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Strongly invertible knots, equivariant slice genera, and an equivariant algebraic concordance group

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Knot Floer homology and strongly homotopy-ribbon concordances

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An invitation to Morse theory

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Smooth and Topological Almost Concordance

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Dehn's Lemma for certain 4-manifolds

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Concordance homomorphisms from knot Floer homology

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The (\(n\))-solvable filtration of link concordance and Milnor's invariants

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Genera of knots in the complex projective plane

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Independence of satellites of torus knots in the smooth concordance group

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Ends of maps. III: Dimensions 4 and 5

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\(\tau\)-invariants for knots in rational homology spheres

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Khovanov homology and the slice genus

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Satellite operators with distinct iterates in smooth concordance

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Quasipositivity as an obstruction to sliceness

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Smooth spheres in \({\mathbb{R}}^ 4\) with four critical points are standard

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Relative Khovanov-Jacobsson classes

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Unraveling the integral knot concordance group

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Gauge theory on asymptotically periodic 4-manifolds

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On S-equivalence of Seifert matrices

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\((2,15)\)-torus knot is not slice in \(\mathbb{C} P^ 2\)

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A note on knot concordance

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Knot Floer homology obstructs ribbon concordance

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Identifiers

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.5802/WBLN.39

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Sitelinks

Mathematics(1 entry)

mardi Publication:6121623

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