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Lectures on knot homology (Q5351831)

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scientific article; zbMATH DE number 6767126

Language	Label	Description	Also known as
English	Lectures on knot homology	scientific article; zbMATH DE number 6767126

Statements

scholarly article

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Lectures on knot homology (English)

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Alexei Oblomkov

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Physics and Mathematics of Link Homology

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publication date

30 August 2017

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full work available at URL

https://arxiv.org/abs/1510.01795

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zbMATH Keywords

knot homology

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geometric representation theory

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string theory

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MaRDI profile type

MaRDI publication profile

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Knot homology and refined Chern-Simons index

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Mirror symmetry and supermanifolds

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All order asymptotics of hyperbolic knot invariants from non-perturbative topological recursion of A-polynomials

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Abstract loop equations, topological recursion and new applications

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Torus knots and mirror symmetry

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On the Hall algebra of an elliptic curve. I.

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The Alexander polynomial of a plane curve singularity via the ring of functions on it

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Computing Khovanov-Rozansky homology and defect fusion

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Jones Polynomials of Torus Knots via DAHA

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DAHA-Jones polynomials of torus knots

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3d-3d correspondence revisited

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Complex Chern-Simons from M5-branes on the squashed three-sphere

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Large \(N\) duality, Lagrangian cycles, and algebraic knots

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HOMFLY polynomials, stable pairs and motivic Donaldson-Thomas invariants

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

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3d Superconformal Theories from Three-Manifolds

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Complex Chern-Simons theory at level \(k\) via the 3d-3d correspondence

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3-manifolds and 3d indices

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Gauge theories labelled by three-manifolds

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Vortex counting and Lagrangian 3-manifolds

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The Superpolynomial for Knot Homologies

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

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Compact generators in categories of matrix factorizations

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Exceptional knot homology

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Symplectic reflection algebras, Calogero-Moser space, and deformed Harish-Chandra homomorphism.

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Representations of rational Cherednik algebras with minimal support and torus knots.

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Invariants of algebraic curves and topological expansion

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Volume conjecture: refined and categorified

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Super-A-polynomial for knots and BPS states

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Equivariant \(K\)-theory of Hilbert schemes via shuffle algebra

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On the category \(\mathcal O\) for rational Cherednik algebras.

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Topological gravity as large \(N\) topological gauge theory

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On the gauge theory/geometry correspondence

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On the quotient ring by diagonal invariants.

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Rational Cherednik algebras and Hilbert schemes

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Rational Cherednik algebras and Hilbert schemes. II: Representations and sheaves

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𝑞,𝑡-Catalan numbers and knot homology

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Arc spaces and DAHA representations

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Quadruply-graded colored homology of knots

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Refined knot invariants and Hilbert schemes

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On Stable Khovanov Homology of Torus Knots

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Torus knots and the rational DAHA

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Knot invariants from topological recursion on augmentation varieties

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Sequencing BPS spectra

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Khovanov-Rozansky homology and topological strings

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Homological algebra of knots and BPS states

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A unified Witten-Reshetikhin-Turaev invariant for integral homology spheres

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Conjectures on the quotient ring by diagonal invariants

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Hilbert schemes, polygraphs and the Macdonald positivity conjecture

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Vanishing theorems and character formulas for the Hilbert scheme of points in the plane

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Differential Forms On Regular Affine Algebras

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Hecke algebra representations of braid groups and link polynomials

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A 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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On an inner product in modular tensor categories

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Geometric engineering of quantum field theories

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Colored HOMFLY and generalized Mandelbrot set

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3d Chern-Simons theory from M5-branes

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The 1,2-coloured HOMFLY-PT link homology

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Stable pairs and the HOMFLY polynomial

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Gromov-Witten/Donaldson-Thomas correspondence for toric 3-folds

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Macdonald formula for curves with planar singularities

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A support theorem for Hilbert schemes of planar curves

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Homfly polynomial via an invariant of colored plane graphs

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Refined Chern-Simons theory and Hilbert schemes of points on the plane

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Super-A-polynomials for twist knots

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Colored Kauffman homology and super-A-polynomials

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Moduli of flags of sheaves and their K-theory

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The Shuffle Algebra Revisited

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The Hilbert scheme of a plane curve singularity and the HOMFLY polynomial of its link

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Geometric representations of graded and rational Cherednik algebras

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Knot invariants and topological strings.

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The 3-fold vertex via stable pairs

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Stable pairs and BPS invariants

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Khovanov homology and the slice genus

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Some differentials on Khovanov-Rozansky homology

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The elliptic Hall algebra, Cherednik Hecke algebras and Macdonald polynomials

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The elliptic Hall algebra and the \(K\)-theory of the Hilbert scheme of \(\mathbb{A}^{2}\)

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Homological thickness and stability of torus knots

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\( {\text{SL}}\left( {2,\mathbb{R}} \right) \) Chern-Simons, Liouville, and gauge theory on duality walls

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Super \(q\)-Howe duality and web categories

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Quantum field theory and the Jones polynomial

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Fivebranes and knots

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A colored sl(N) homology for links in S<sup>3</sup>

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Quantum (<i>sl<sub>n</sub>, ∧V <sub>n</sub></i>) link invariant and matrix factorizations

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Identifiers

zbMATH Open document ID

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10.1090/conm/680/13702

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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:5351831

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