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𝔤𝔩n-webs, categorification and Khovanov–Rozansky homologies - MaRDI portal

𝔤𝔩n-webs, categorification and Khovanov–Rozansky homologies (Q3388025)

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Language	Label	Description	Also known as
English	𝔤𝔩n-webs, categorification and Khovanov–Rozansky homologies	scientific article

Statements

scholarly article

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𝔤𝔩n-webs, categorification and Khovanov–Rozansky homologies (English)

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zbMATH Open document ID

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10.1142/S0218216520500741

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Daniel Tubbenhauer

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Journal of Knot Theory and Its Ramifications

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publication date

8 January 2021

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full work available at URL

https://arxiv.org/abs/1404.5752

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Mathematics Subject Classification ID

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zbMATH DE Number

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zbMATH Keywords

webs

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cellular algebras

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categorified quantum groups

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KLR algebras

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Khovanov-Rozansky homologies

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describes a project that uses

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MaRDI profile type

MaRDI publication profile

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Khovanov's homology for tangles and cobordisms

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FAST KHOVANOV HOMOLOGY COMPUTATIONS

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A geometric setting for the quantum deformation of \(\mathrm{GL}_n\)

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Braided symmetric and exterior algebras

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AN ORIENTED MODEL FOR KHOVANOV HOMOLOGY

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Blocks of cyclotomic Hecke algebras and Khovanov-Lauda algebras.

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Graded decomposition numbers for cyclotomic Hecke algebras.

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Graded Specht modules

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Highest weight categories arising from Khovanov's diagram algebra. II: Koszulity

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Highest weight categories arising from Khovanov's diagram algebra I: cellularity

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Highest weight categories arising from Khovanov’s diagram algebra III: category 𝒪

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Highest weight categories arising from Khovanov's diagram algebra. IV: The general linear supergroup

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Gradings on walled Brauer algebras and Khovanov's arc algebra

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Computing Khovanov-Rozansky homology and defect fusion

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Clasp technology to knot homology via the affine Grassmannian

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Knot homology via derived categories of coherent sheaves. I: The \(\mathfrak{sl}(2)\)-case

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Knot homology via derived categories of coherent sheaves. II: \(\mathfrak{sl}_{m}\) case

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Braiding via geometric Lie algebra actions

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Webs and quantum skew Howe duality

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Implicit structure in 2-representations of quantum groups

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An invariant of tangle cobordisms via subquotients of arc rings

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Derived equivalences for symmetric groups and \(\mathfrak{sl}_2\)-categorification.

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Cyclotomic \(q\)-Schur algebras

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2-row Springer Fibres and Khovanov Diagram Algebras for Type D

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Diagrammatic description for the categories of perverse sheaves on isotropic Grassmannians

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Nazarov-Wenzl algebras, coideal subalgebras and categorified skew Howe duality

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Generating basis webs for \(\text{SL}_n\).

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Cellular algebras

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Graded cellular bases for the cyclotomic Khovanov-Lauda-Rouquier algebras of type \(A\).

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Quiver Schur algebras for linear quivers

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A categorification of the Jones polynomial

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A functor-valued invariant of tangles

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\(\text{sl}(3)\) link homology

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CROSSINGLESS MATCHINGS AND THE COHOMOLOGY OF (n, n) SPRINGER VARIETIES

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Web bases for \(\text{sl}(3)\) are not dual canonical

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A diagrammatic approach to categorification of quantum groups I

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A categorification of quantum \(\text{sl}(n)\)

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A diagrammatic approach to categorification of quantum groups II

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Erratum to: ``A categorification of quantum \(\text{sl}(n)\)''

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Extended graphical calculus for categorified quantum sl(2)

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Matrix factorizations and link homology

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Spiders for rank 2 Lie algebras

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Khovanov homology is a skew Howe 2-representation of categorified quantum \(\mathfrak{sl}_m\)

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A SIMPLE ALGORITHM FOR COMPUTING THE GLOBAL CRYSTAL BASIS OF AN IRREDUCIBLE U<sub>q</sub>(sl<sub>n</sub>)-MODULE

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\(\mathfrak{sl}_3\)-foam homology calculations

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Introduction to quantum groups

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The \(\mathfrak{sl}_N\)-web algebras and dual canonical bases

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The \(\mathfrak{sl}_3\)-web algebra

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\(sl(N)\)-link homology \((N\geq 4)\) using foams and the Kapustin-Li formula

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A diagrammatic categorification of the \(q\)-Schur algebra

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The foam and the matrix factorization \(sl_3\) link homologies are equivalent

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\(\mathfrak{sl}_N\)-web categories and categorified skew Howe duality

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Link homology theories from symplectic geometry

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A combinatorial approach to functorial quantum sl<sub xmlns:m="http://www.w3.org/1998/Math/MathML" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><i>k</i></sub> knot invariants

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Homfly polynomial via an invariant of colored plane graphs

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Odd Khovanov homology

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The \(\mathfrak{sl}_n\) foam 2-category: a combinatorial formulation of Khovanov-Rozansky homology via categorical skew Howe duality

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Khovanov-Rozansky homology of two-bridge knots and links

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A LARGE FAMILY OF INDECOMPOSABLE PROJECTIVE MODULES FOR THE KHOVANOV–KUPERBERG ALGEBRAS OF sl<sub>3</sub>-WEBS

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A characterization of indecomposable web modules over Khovanov-Kuperberg algebras

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Categorification of tensor powers of the vector representation of \(U_q(\mathfrak{gl}(1| 1))\)

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A link invariant from the symplectic geometry of nilpotent slices

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Indecomposable objects and Lusztig's canonical basis

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Categorification of the Temperley-Lieb category, tangles, and cobordisms via projective functors

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Parabolic category O, perverse sheaves on Grassmannians, Springer fibres and Khovanov homology

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2-block Springer fibers: convolution algebras and coherent sheaves

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\(\mathfrak{sl}_3\)-web bases, intermediate crystal bases and categorification

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Canonical bases and higher representation theory

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Knot invariants and higher representation theory

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Categorified \(\mathfrak{sl}_N\) invariants of colored rational tangles

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

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mardi Publication:3388025

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