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A calculus for framed links inS 3

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1002/cpa.3160180309openalex-snapshot
An invariant of knot cobordism
inferredcites →https://doi.org/10.1007/978-3-642-88330-9openalex-snapshot
Symmetric Bilinear Forms
inferredcites →https://doi.org/10.1007/bf02412768openalex-snapshot
An invariant for certain smooth manifolds
inferredcites →https://doi.org/10.1007/bf02684687openalex-snapshot
La stratification naturelle des espaces de fonctions différentiables réelles et le théorème de la pseudo-isotopie
inferredcites →https://doi.org/10.1016/0040-9383(63)90014-4openalex-snapshot
On the dunce hat
inferredcites →https://doi.org/10.1016/0040-9383(75)90024-5openalex-snapshot
Knots, homology spheres, and contractible 4-manifolds
inferredcites →https://doi.org/10.1016/0040-9383(79)90010-7openalex-snapshot
On Kirby's calculus of links
inferredcites →https://doi.org/10.1090/s0002-9904-1975-13737-2openalex-snapshot
Invariants of 3-manifolds
inferredcites →https://doi.org/10.1090/s0002-9939-1976-0488060-xopenalex-snapshot
Surgery on Knots
inferredcites →https://doi.org/10.1112/jlms/s1-39.1.141openalex-snapshot
On Simply-Connected 4-Manifolds
inferredcites →https://doi.org/10.2307/1970373openalex-snapshot
A Representation of Orientable Combinatorial 3-Manifolds

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Bridged Links and Tangle Presentations of Cobordism Categories
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Invariants of Spin Three-Manifolds From Chern–Simons Theory and Finite-Dimensional Hopf Algebras
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Combinatorial Recoupling Theory and 3-Manifold Invariants
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Knots, Diagrams and Kids’ Shoelaces. On Space and their Forms
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From Singularities to Graphs
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From Hyperbolic Dehn Filling to Surgeries in Representation Varieties
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Multiparameter Persistent Homology via Generalized Morse Theory
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Three-Manifold Invariants
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On the Casson Invariant
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Floer’s work on instanton homology, knots and surgery
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Instanton homology and Dehn surgery
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Universelle Konstruktionen
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Universal Constructions
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Motions of Flexible Objects
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The Witten—Reshetikhin—Turaev invariant for three—manifolds
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Invariants of Links and 3-Manifolds From Skein Theory and From Quantum Groups
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D
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Knot Theory, Jones’ Polynomials, Invariants of 3-Manifolds, and the Topological Theory of Fluid Dynamics
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Chern-Simons Field Theory Invariants
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Surgery on 3-manifolds with $$\mathbb{S}$$ 1-actions
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Handle decompositions of simply connected five-manifolds. III
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Handle decompositions of simply-connected five-manifolds. II
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Three-dimensional homology spheres and links with Alexander polynomial 1
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Constructing lens spaces by surgery on knots
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The 3-manifold invariants of Witten and Reshetikhin-Turaev for sl(2, C)
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Braids and invariants of 3-manifolds
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Invariants of 3-manifolds via link polynomials and quantum groups
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Generalized surgery of three-dimensional manifolds and representations of homology spheres
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Four-manifolds constructed via plumbing
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A new technique for the link slice problem
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Some new invariants of links
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Link concordance and algebraic closure, II
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Branched covers of surfaces in 4-manifolds
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Three-manifolds and the Temperley-Lieb algebra
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Dedekind sums, ?-invariants and the signature cocycle
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On the Donaldson polynomials of elliptic surfaces
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Quasi-quantum groups, knots, three-manifolds, and topological field theory
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Quantum invariants at the sixth root of unity
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2+1-D topological quantum field theory and 2-D conformal field theory
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Moore and Seiberg's equations and 3D topological field theory
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Computer calculation of Witten's 3-manifold invariant
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Invariants of 3-manifolds and projective representations of mapping class groups via quantum groups at roots of unity
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A geometrical presentation of the surface mapping class group and surgery
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A graph-theoretical representation of PL-manifolds — A survey on crystallizations
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Quantum groups at odd roots of unity and topological invariants of 3-manifolds
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On simple fibered knots inS 5 and the existence of decomposable algebraic 3-knots
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Covering homotopy 3-spheres
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Invariants on three-manifolds with spin structure
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Déchirures de variétés de dimension trois et la conjecture de Nash de rationalité en dimension trois
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A finite graphic calculus for 3-manifolds
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An algorithm producing a standard spine of a 3-manifold presented by surgery along a link
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Some aspects of classical knot theory
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A link calculus for 4-manifolds
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Handlebodies and 2-complexes
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An invariant of plumbed homology spheres
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Knots and complex systems
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3d-3d correspondence for mapping tori
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Exceptional Dehn Surgeries on Some Infinite Series of Hyperbolic Knots and Links
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Structure in the classical knot concordance group
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Topological quantum field theory with corners based on the Kauffman bracket
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Some tetrahedron manifolds with Sol geometry and related groups
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Supergroups, q-Series and 3-Manifolds
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A Diagrammatic Presentation of the Category 3Cob
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The Århus integral of rational homology 3-spheres I: A highly non trivial flat connection on S 3
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The Århus integral of rational homology 3-spheres II: Invariance and universality
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A surgery view of boundary links
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Every knot has characterising slopes
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Skeins and quantum SU(N) invariants of 3-manifolds
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All-Order Volume Conjecture for Closed 3-Manifolds from Complex Chern–Simons Theory
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Computation of Lickorish's Three Manifold Invariant Using Chern-Simons Theory
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Topological Quantum Field Theory for the Universal Quantum Invariant
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A unified Witten–Reshetikhin–Turaev invariant for integral homology spheres
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On certain classes of hyperbolic 3-manifolds
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Framed Knots
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Diagrams of Links and Bands on 3-Manifold Spines and Flow-Spines
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Tetrahedron manifold series of Heegaard genus two with knot presentation and Dehn surgery
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From Heegaard diagrams to surgery
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Forms and Roles of Diagrams in Knot Theory
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J-invariants of plane curves and framed chord diagrams
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On the Number of Type Change Loci of a Generalized Complex Structure
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Gukov–Pei–Putrov–Vafa conjecture for $$SU(N)/{\mathbb {Z}}_m$$
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A reappraisal of the form – function problem. Theory and phenomenology
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Recurrent Sequences of Polynomials in Three-Dimensional Topology
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Recent Progresses on the Volume Conjectures for Reshetikhin-Turaev and Turaev-Viro Invariants
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A graphical language for quantum protocols based on the category of cobordisms
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Braided compact closed categories with applications to low dimensional topology
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Hopf algebras and invariants of 3-manifolds
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On Kirby's calculus of links
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Realizing simply connected 4-manifolds by blowing down
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Slightly singular 4-manifolds
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How to construct all fibered knots and links
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On embedding 3-manifolds in 4-space
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Property P for the band-connect sum of two knots
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Applications of Donaldson's theorems to classical knot concordance, homology 3-spheres and Property P
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Knots with unknotting number one are determined by their complements
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Homology boundary links and the andrews–curtis conjecture
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Nuclei of elliptic surfaces
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Three-manifold invariants derived from the Kauffman bracket
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Topological Auantum Field Theories derived from the Kauffman bracket
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Skein theory and Turaev-Viro invariants
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Special Heegaard diagrams and the Kirby calculus
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Links and polar flows on 4-manifolds
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Sum over the geometries of three-manifolds
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Invariants of three-manifolds from finite group cohomology
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SU (3) Chern-Simons field theory in three-manifolds
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Surgery rules in quantum Chern-Simons field theory
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Topological field theory and surgery on three-manifolds
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Topological invariants in two and three dimensions
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Three-dimensional topology and Verlinde formulae
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SPECIAL REPRESENTATIONS FOR 3-MANIFOLDS
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EIGHT FACES OF THE POINCARE HOMOLOGY 3-SPHERE
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DECOMPOSING ANALYTIC SURFACES
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Knot Diagrammatics
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Geometric Aspects in the Development of Knot Theory
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Dehn Surgery on Knots
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Quantum Invariants of 3-Manifolds
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Holomorphic triangles and invariants for smooth four-manifolds
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Non-semi-simple TQFTs, Reidemeister torsion and Kashaev's invariants
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Cobordisms of sutured manifolds and the functoriality of link Floer homology
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On the set of L-space surgeries for links
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Narrowly avoided cusp catastrophes in Least Squares Orthogonal Distance Fitting
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Universal presentations for manifold groups
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Handle slides for delta-matroids
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Borromean rings and linkings
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A supergroup series for knot complements
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Integrality and gauge dependence of Hennings TQFTs
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Modified graded Hennings invariants from unrolled quantum groups and modified integral
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Path-integral invariants in abelian Chern–Simons theory
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Variation of the Alexander?Conway polynomial under Dehn surgery
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Quadratic functions and complex spin structures on three-manifolds
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p-Adic framed braids
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Canonical embeddings of S1×Δn−1 into orientable n -dimensional closed PL manifolds for n>4
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Representing 3-manifolds in the complex number plane
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More Brieskorn spheres bounding rational balls
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Equivariant aspects of Yang–Mills Floer theory
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Special Heegaard splittings for closed, oriented 3-manifolds
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On a universal perturbative invariant of 3-manifolds
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Quantum cyclotomic orders of 3-manifolds
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Quantum invariants and finite group actions on three-manifolds
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Dehn surgery along torus knots
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Equivalence of a bridged link calculus and Kirby's calculus of links on nonsimply connected 3-manifolds
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Knot theory and the heuristics of functional integration
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Dehn surgery on knots
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Trivializing ribbon links by Kirby moves
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Quantum superalgebras at roots of unity and topological invariants of three-manifolds
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Conway potential functions for links in ℚ-homology 3-spheres
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Dehn surgeries on some classical links
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On 2-dimensional homology classes of 4-manifolds
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A note on homology surgery and the Casson–Gordon invariant
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Manifolds with multiple knot-surgery descriptions
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A note on 3-fold branched coverings ofS3
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Ribbon fibred knots, cobordism of surface diffeomorphisms, and pseudo-Anosov diffeomorphisms
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Quantum groups and representations of monoidal categories
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Discriminants of Casson–Gordon invariants
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Skeins and mapping class groups
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Topological methods to compute Chern-Simons invariants
inferred← citeshttps://doi.org/10.1017/s0305004100072078openalex-snapshot
QuantumSU(2)-invariants dominate Casson'sSU(2)-invariant
inferred← citeshttps://doi.org/10.1017/s0305004100072935openalex-snapshot
A polynomial invariant of integral homology 3-spheres
inferred← citeshttps://doi.org/10.1017/s0305004100073084openalex-snapshot
QuantumSO(3)-invariants dominate theSU(2)-invariant of Casson and Walker
inferred← citeshttps://doi.org/10.1017/s0305004100073102openalex-snapshot
Invariants of 3-manifolds derived from universal invariants of framed links
inferred← citeshttps://doi.org/10.1017/s0305004100073369openalex-snapshot
On quantumSU(2) invariants and generalized bridge numbers of knots
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Surgeries on periodic links and homology of periodic 3-manifolds
inferred← citeshttps://doi.org/10.1017/s0305004105008923openalex-snapshot
The Casson–Walker–Lescop invariant of periodic three-manifolds
inferred← citeshttps://doi.org/10.1017/s0305004111000089openalex-snapshot
A Gram determinant for Lickorish's bilinear form
inferred← citeshttps://doi.org/10.1017/s1446788700008168openalex-snapshot
On calculation of the Witten invariants of 3-manifolds
inferred← citeshttps://doi.org/10.1017/s1446788713000372openalex-snapshot
LENS SPACE SURGERIES ALONG CERTAIN 2-COMPONENT LINKS RELATED WITH PARK’S RATIONAL BLOW DOWN, AND REIDEMEISTER-TURAEV TORSION
inferred← citeshttps://doi.org/10.1023/a:1005171320958openalex-snapshot
LCG Moves in Crystallizations
inferred← citeshttps://doi.org/10.1023/a:1007366912839openalex-snapshot
Topological Invariants for Lens Spaces and Exceptional Quantum Groups
inferred← citeshttps://doi.org/10.1023/a:1010231424507openalex-snapshot
Three-Dimensional Manifolds Defined by Coloring a Simple Polytope
inferred← citeshttps://doi.org/10.1063/1.3431031openalex-snapshot
Abelian link invariants and homology
inferred← citeshttps://doi.org/10.1063/1.4818738openalex-snapshot
Three-manifold invariant from functional integration
inferred← citeshttps://doi.org/10.1063/1.533292openalex-snapshot
Turaev–Viro invariant and 3nj symbols
inferred← citeshttps://doi.org/10.1063/1.57136openalex-snapshot
Witten’s integral and the Kontsevich Integral
inferred← citeshttps://doi.org/10.1063/5.0239253openalex-snapshot
$\mathrm{U}(1)^{n}$ Chern-Simons theory: partition function, reciprocity formula and Chern-Simons duality
inferred← citeshttps://doi.org/10.1070/sm1984v048n01abeh002662openalex-snapshot
COHOMOLOGY RINGS, LINKING FORMS AND INVARIANTS OF SPIN STRUCTURES OF THREE-DIMENSIONAL MANIFOLDS
inferred← citeshttps://doi.org/10.1073/pnas.1018465108openalex-snapshot
Fiber-connected, indefinite Morse 2-functions on connected n -manifolds
inferred← citeshttps://doi.org/10.1073/pnas.1717187115openalex-snapshot
Characterizing Dehn surgeries on links via trisections
inferred← citeshttps://doi.org/10.1090/bull/1806openalex-snapshot
A survey of the homology cobordism group
inferred← citeshttps://doi.org/10.1090/cbms/133openalex-snapshot
Lectures on Field Theory and Topology
inferred← citeshttps://doi.org/10.1090/conm/318/05549openalex-snapshot
Towards an algebraic characterization of 3-dimensional cobordisms
inferred← citeshttps://doi.org/10.1090/conm/621/12415openalex-snapshot
From Classical Theta Functions to Topological Quantum Field Theory
inferred← citeshttps://doi.org/10.1090/conm/670/13444openalex-snapshot
Knot Theory
inferred← citeshttps://doi.org/10.1090/conm/680/13698openalex-snapshot
Chern-Simons theory and knot invariants
inferred← citeshttps://doi.org/10.1090/conm/813/16292openalex-snapshot
Categorical center of higher genera
inferred← citeshttps://doi.org/10.1090/conm/834/16681openalex-snapshot
Renormalized Reshetikhin–Turaev invariants for the unrolled quantum group of 𝔰𝔩₂(ℂ)
inferred← citeshttps://doi.org/10.1090/gsm/218openalex-snapshot
Lectures on Differential Topology
inferred← citeshttps://doi.org/10.1090/s0002-9939-1982-0652458-xopenalex-snapshot
Contractibly embedded 2-spheres in 𝑆²×𝑆²
inferred← citeshttps://doi.org/10.1090/s0002-9939-1984-0728370-6openalex-snapshot
A Stable Group-Pair Invariant of Three-Dimensional Manifolds
inferred← citeshttps://doi.org/10.1090/s0002-9939-1992-1126197-1openalex-snapshot
The Framed Braid Group and 3-Manifolds
inferred← citeshttps://doi.org/10.1090/s0002-9939-1995-1233978-5openalex-snapshot
A Vanishing Theorem for Donaldson Invariants
inferred← citeshttps://doi.org/10.1090/s0002-9939-1995-1246517-xopenalex-snapshot
An Explicit Family of Exotic Casson Handles
inferred← citeshttps://doi.org/10.1090/s0002-9939-2014-12022-3openalex-snapshot
Extra structure and the universal construction for the Witten-Reshetikhin-Turaev TQFT
inferred← citeshttps://doi.org/10.1090/s0002-9947-1979-0539917-xopenalex-snapshot
Constructing Framed 4-Manifolds with Given Almost Framed Boundaries
inferred← citeshttps://doi.org/10.1090/s0002-9947-1981-0603768-7openalex-snapshot
Configurations of Surfaces in 4-Manifolds
inferred← citeshttps://doi.org/10.1090/s0002-9947-1981-0632532-8openalex-snapshot
A Calculus for Plumbing Applied to the Topology of Complex Surface Singularities and Degenerating Complex Curves
inferred← citeshttps://doi.org/10.1090/s0002-9947-1986-0849471-4openalex-snapshot
Unknotting Information from 4-Manifolds
inferred← citeshttps://doi.org/10.1090/s0002-9947-1991-1020041-2openalex-snapshot
Heegaard Diagrams of 3-Manifolds
inferred← citeshttps://doi.org/10.1090/s0002-9947-1992-1065603-2openalex-snapshot
A simple proof of the fundamental theorem of Kirby calculus on links
inferred← citeshttps://doi.org/10.1090/s0002-9947-1994-1236223-3openalex-snapshot
A Reimbedding Algorithm for Casson Handles
inferred← citeshttps://doi.org/10.1090/s0002-9947-2013-05957-0openalex-snapshot
On simplicial resolutions of framed links
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