Diagrammatics for Soergel categories
From MaRDI portal
Publication:554774
DOI10.1155/2010/978635zbMath1219.18003arXiv0902.4700OpenAlexW2061632869WikidataQ58651484 ScholiaQ58651484MaRDI QIDQ554774
Ben Elias, Mikhail G. Khovanov
Publication date: 22 July 2011
Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0902.4700
Related Items
Schubert calculus and torsion explosion, Categorified Young symmetrizers and stable homology of torus links. II, Categorified Young symmetrizers and stable homology of torus links, A categorical action on quantized quiver varieties, Thicker Soergel calculus in typeA, On some p-differential graded link homologies, Soergel Calculus and Schubert Calculus, On generalized category \(\mathcal O\) for a quiver variety, Standard objects in 2-braid groups, Local Hodge theory of Soergel bimodules, Diagram categories for \(\mathrm{U}_q\)-tilting modules at roots of unity, A braid group action on a \(p\)-DG homotopy category, Comparison of canonical bases for Schur and universal enveloping algebras, A diagrammatic Temperley-Lieb categorification, Integral HOMFLY-PT and \(sl(n)\)-link homology, Braid group actions from categorical symmetric Howe duality on deformed Webster algebras, The Hecke bicategory, A diagrammatic categorification of the \(q\)-Schur algebra, Categorifying Hecke algebras at prime roots of unity, part I, Localized calculus for the Hecke category, A singular Coxeter presentation, Categorification of the Temperley-Lieb algebra by bimodules., Diagrammatics for Kazhdan-Lusztig \(\tilde{R}\)-polynomials, Modular Koszul duality for Soergel bimodules, Koszul duality and Soergel bimodules for dihedral groups, Categorifying fractional Euler characteristics, Jones-Wenzl projectors and \(3j\)-symbols, Evaluation birepresentations of affine type \(A\) Soergel bimodules, Categorifications from planar diagrammatics, Actions of \(\mathfrak{sl}_2\) on algebras appearing in categorification, Monoidal categories, representation gap and cryptography, An approach to categorification of some small quantum groups. II., Working session: Geometric representation theory. Abstracts from the working session held April 3--9, 2022, IntroSurvey of representation theory, K‐theory Soergel bimodules, Categorification: tangle invariants and TQFTs, Odd two-variable Soergel bimodules and Rouquier complexes, Trace decategorification of the Hecke category, Invariants of 4-manifolds from Khovanov-Rozansky link homology, Legendrian weaves: \(N\)-graph calculus, flag moduli and applications, Folding with Soergel bimodules, The p-canonical basis for Hecke algebras, Thicker Soergel calculus for B3, On monoidal Koszul duality for the Hecke category, 2-Verma modules and the Khovanov-Rozansky link homologies, The Soergel category and the redotted Webster algebra, Extended graphical calculus for categorified quantum sl(2), The ABC of \(p\)-cells, Blob algebra and two-color Soergel calculus, The diagrammatic Soergel category and \(\mathrm{sl}(2)\) and \(\mathrm{sl}(3)\) foams, Presentation of right-angled Soergel categories by generators and relations., Colored Khovanov-Rozansky homology for infinite braids, A diagram algebra for Soergel modules corresponding to smooth Schubert varieties, The two-color Soergel calculus, Serre duality for Khovanov-Rozansky homology, HOMFLYPT homology for links in handlebodies via type \textsf{A} Soergel bimodules, Jucys-Murphy elements for Soergel bimodules, Soergel calculus, Light leaves and Lusztig's conjecture
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Rouquier complexes are functorial over braid cobordisms
- A categorification of quantum \(\mathfrak{sl}(2)\)
- A diagrammatic Temperley-Lieb categorification
- The geometry of unitary 2-representations of finite groups and their 2-characters
- A geometric setting for the quantum deformation of \(\mathrm{GL}_n\)
- The Karoubi envelope and Lee's degeneration of Khovanov homology
- Some differentials on Khovanov-Rozansky homology
- A geometric model for Hochschild homology of Soergel bimodules.
- Matrix factorizations and link homology. II.
- Categorification of (induced) cell modules and the rough structure of generalised Verma modules
- On the Soergel bimodule category.
- Equivalences between Soergel conjectures.
- Presentation of right-angled Soergel categories by generators and relations.
- A categorification of finite-dimensional irreducible representations of quantum \({\mathfrak{sl}_2}\) and their tensor products
- \(sl(N)\)-link homology \((N\geq 4)\) using foams and the Kapustin-Li formula
- Hecke algebra representations of braid groups and link polynomials
- Kazhdan-Lusztig conjecture and holonomic systems
- Representations of Coxeter groups and Hecke algebras
- A categorification of the Temperley-Lieb algebra and Schur quotients of \(U(\mathfrak{sl}_2)\) via projective and Zuckerman functors
- From subfactors to categories and topology. I: Frobenius algebras in and Morita equivalence of tensor categories
- The diagrammatic Soergel category and \(sl(N)\)-foams, for \(N\geq 4\)
- Braid cobordisms, triangulated categories, and flag varieties
- A categorification of quantum \(\text{sl}(n)\)
- Derived equivalences for symmetric groups and \(\mathfrak{sl}_2\)-categorification.
- Khovanov-Rozansky homology via a canopolis formalism
- The 1,2-coloured HOMFLY-PT link homology
- Canonical bases and KLR-algebras
- Singular Soergel Bimodules
- The Superpolynomial for Knot Homologies
- The combinatorics of Coxeter categories
- ON KHOVANOV'S COBORDISM THEORY FOR $\mathfrak{su}_3$ KNOT HOMOLOGY
- The combinatorics of Harish-Chandra bimodules.
- Four-dimensional topological quantum field theory, Hopf categories, and the canonical bases
- Introduction to linear bicategories
- KAZHDAN-LUSZTIG-POLYNOME UND UNZERLEGBARE BIMODULN ÜBER POLYNOMRINGEN
- TRIPLY-GRADED LINK HOMOLOGY AND HOCHSCHILD HOMOLOGY OF SOERGEL BIMODULES
