Results 81 to 90 of about 5,500 (151)
CATEGORIFICATIONS OF THE COLORED JONES POLYNOMIAL [PDF]
Journal of Knot Theory and Its Ramifications, 2005 The colored Jones polynomial of links has two natural normalizations: one in which the n-colored unknot evaluates to [n + 1], the quantum dimension of the (n + 1)-dimensional irreducible representation of quantum [Formula: see text], and the other in which it evaluates to 1.
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Perverse schobers and Orlov equivalences. [PDF]
Eur J Math, 2023 Koseki N, Ouchi G.
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On Khovanov’s categorification of the Jones polynomial [PDF]
Algebraic & Geometric Topology, 2002 Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol2/agt-2-16.abs.html, 34 pages with many figures, source contains associated program and data ...
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On uniqueness of tensor products of irreducible categorifications
, 2013 In this paper, we propose an axiomatic definition for a tensor product categorification. A tensor product categorification is an abelian category with a categorical action of a Kac-Moody algebra g in the sense of Rouquier or Khovanov-Lauda whose ...
Losev, Ivan, Webster, Ben
core
Introduction to categorification
, 2014 These are the notes for a two-week mini-course given at a winter school in January 2014 as part of the thematic semester New Directions in Lie Theory at the Centre de Recherches Mathématiques in Montréal. The goal of the course was to give an overview of the idea of categorification, with an emphasis on some examples where explicit computation is ...
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Categorification: tangle invariants and TQFTs
, 2023 Based on different views on the Jones polynomial we review representation theoretic categorified link and tangle invariants. We unify them in a common combinatorial framework and connect them via the theory of Soergel bimodules. The influence of these categorifications on the development of 2-representation theory and the interaction between ...
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Equivariant multiplicities via representations of quantum affine algebras. [PDF]
Sel Math New Ser, 2023 Casbi E, Li JR.
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A categorification of the square root of -1 [PDF]
Fundamenta Mathematicae, 2016 We give a graphical calculus for a monoidal DG category $\cal{I}$ whose Grothendieck group is isomorphic to the ring $\mathbb{Z}[\sqrt{-1}]$. We construct a categorical action of $\cal{I}$ which lifts the action of $\mathbb{Z}[\sqrt{-1}]$ on $\mathbb{Z}^2$.
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A CATEGORIFICATION OF A QUANTUM FROBENIUS MAP [PDF]
Journal of the Institute of Mathematics of Jussieu, 2017 A quantum Frobenius map a la Lusztig for $\mathfrak{s}\mathfrak{l}_{2}$ is categorified at a prime root of unity.
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Quantum Advantages of Communication Complexity from Bell Nonlocality. [PDF]
Entropy (Basel), 2021 Jia ZA, Wei L, Wu YC, Guo GC.
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