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Hidden structures of knot invariants (Q5179454)

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scientific article; zbMATH DE number 6417518

Language	Label	Description	Also known as
English	Hidden structures of knot invariants	scientific article; zbMATH DE number 6417518

Statements

scholarly article

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Hidden structures of knot invariants (English)

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Alexey Sleptsov

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International Journal of Modern Physics A

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publication date

20 March 2015

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zbMATH Keywords

HOMFLY polynomials

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Hurwitz numbers

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tau-function

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Vassiliev invariants

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superpolynomial invariants

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MaRDI profile type

MaRDI publication profile

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Quantum field theory and the Jones polynomial

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Genus expansion of HOMFLY polynomials

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PARTITION FUNCTIONS OF MATRIX MODELS: FIRST SPECIAL FUNCTIONS OF STRING THEORY

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M-theory of matrix models

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Instantons and merons in matrix models

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PARTITION FUNCTIONS OF MATRIX MODELS AS THE FIRST SPECIAL FUNCTIONS OF STRING THEORY II: KONTSEVICH MODEL

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Hermitian matrix model free energy: Feynman graph technique for all genera

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Matrix eigenvalue model: Feynman graph technique for all genera

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The volume conjecture, perturbative knot invariants, and recursion relations for topological strings

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Knot invariants and topological strings.

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Polynomial invariants for torus knots and topological strings

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On the gauge theory/geometry correspondence

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Integrability properties of Hurwitz partition functions. II. Multiplication of cut-and-join operators and WDVV equations

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Complete set of cut-and-join operators in the Hurwitz-Kontsevich theory

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Algebra of differential operators associated with Young diagrams

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Renormalization group in abstract QFT

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HOMFLY and superpolynomials for figure eight knot in all symmetric and antisymmetric representations

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CHARACTER EXPANSION FOR HOMFLY POLYNOMIALS III: ALL 3-STRAND BRAIDS IN THE FIRST SYMMETRIC REPRESENTATION

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The colored Jones polynomials and the simplicial volume of a knot

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\({SL(2, \mathbb{C})}\) Chern-Simons theory and the asymptotic behavior of the colored Jones polynomial

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The Superpolynomial for Knot Homologies

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Knot polynomials in the first non-symmetric representation

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Superpolynomials for torus knots from evolution induced by cut-and-join operators

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A categorification of the Jones polynomial

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On Khovanov's categorification of the Jones polynomial

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Matrix factorizations and link homology

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Matrix factorizations and link homology. II.

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Holomorphic disks and knot invariants

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Seiberg-Witten theory and matrix models

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The number of ramified coverings of the sphere by the torus and surfaces of higher genera

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Asymptotic theory of characters of the symmetric group

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Gromov-Witten theory, Hurwitz theory, and completed cycles

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GENERALIZED KAZAKOV-MIGDAL-KONTSEVICH MODEL: GROUP THEORY ASPECTS

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Integrability of Hurwitz partition functions

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Toda equations for Hurwitz numbers

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KONTSEVICH INTEGRAL FOR KNOTS AND VASSILIEV INVARIANTS

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A new class of integrable systems and its relation to solitons

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Complete integrability of relativistic Calogero-Moser systems and elliptic function identities

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Action-angle maps and scattering theory for some finite-dimensional integrable systems. I: The pure soliton case

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Brezin-Gross-Witten model as ``pure gauge'' limit of Selberg integrals

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A direct proof of AGT conjecture at {\(\beta\)} = 1

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On combinatorial expansion of the conformal blocks arising from AGT conjecture

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AGT conjecture and integrable structure of conformal field theory for \(c=1\)

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Towards the proof of AGT relations with the help of the generalized Jack polynomials

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Liouville correlation functions from four-dimensional gauge theories

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On AGT relation in the case of \(U(3)\)

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PERTURBATIVE CHERN-SIMONS THEORY

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Chern-Simons theory in the temporal gauge and knot invariants through the universal quantum R-matrix

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Finite-type invariants of classical and virtual knots

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Combinatorial formulas for Vassiliev invariants from Chern–Simons gauge theory

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The Chern-Simons theory and knot polynomials

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Kontsevich integral for Vassiliev invariants from Chern–Simons perturbation theory in the light-cone gauge

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Ribbon graphs and their invariants derived from quantum groups

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Invariants of 3-manifolds via link polynomials and quantum groups

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The Yang-Baxter equation and invariants of links

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Primitive Vassiliev invariants and factorization in Chern-Simons perturbation theory

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Kontsevich’s integral for the Kauffman polynomial

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Numerical knot invariants of finite type from Chern-Simons perturbation theory

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On the First Two Vassiliev Invariants

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Double affine Hecke algebras and Macdonald's conjectures

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The elliptic Hall algebra, Cherednik Hecke algebras and Macdonald polynomials

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Inversion of the Pieri formula for Macdonald polynomials

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Equations on knot polynomials and 3d/5d duality

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Cabling procedure for the colored HOMFLY polynomials

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Colored HOMFLY polynomials as multiple sums over paths or standard Young tableaux

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Proof of the Labastida-Mariño-Ooguri-Vafa conjecture

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The algebra of conjugacy classes in symmetric groups, and partial permutations

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Characterization of Jacobian varieties in terms of soliton equations

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LANDAU-GINZBURG TOPOLOGICAL THEORIES IN THE FRAMEWORK OF GKM AND EQUIVALENT HIERARCHIES

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GENERALIZED HIROTA EQUATIONS AND REPRESENTATION THEORY I: THE CASE OF <font>SL(2)</font> AND SL<sub>q</sub>(2)

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Group theory approach to the \(\tau\)-function and its quantization

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The coloured Jones function

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Transformation groups of soliton equations. IV: A new hierarchy of soliton equations of KP-type

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Quasi-classical limit of Toda hierarchy and \(W\)-infinity symmetries

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INTEGRABLE HIERARCHIES AND DISPERSIONLESS LIMIT

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Solitons and infinite dimensional Lie algebras

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full work available at URL

https://doi.org/10.1142/s0217751x14300634

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Identifiers

zbMATH Open document ID

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10.1142/S0217751X14300634

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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:5179454

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