81 citations · 533 across the 36 of their papers we have counts for
14 papers · 1 filter
Evaluation 2-Functors for Kac-Moody 2-Categories of Type A2
Marco Mackaay, James Macpherson, Pedro Vaz
We construct a 2-functor from the Kac-Moody 2-category for the extended quantum affine sl(3) to the homotopy 2-category of bounded chain complexes with values in the Kac-Moody 2-ca…
On extended graphical calculus for categorified quantum
Marko Stosic
We study the properties of the extended graphical calculus for categorified quantum . The main results include proofs of Reidemeister 2 and Reidemeister 3-like moves involvi…
A diagrammatic categorification of the affine q-Schur algebra S(n,n) for n > 2
Marco Mackaay, Anne-Laure Thiel
This is a follow-up to the paper in which we categorified the affine quantum Schur algebra S(n,r) for 2 < r < n, using a quotient of Khovanov and Lauda's categorification of the af…
The sl(N)-web algebras and dual canonical bases
Marco Mackaay
In this paper, which is a follow-up to my paper with Yonezawa "sl(N)-web categories", I define and study sl(N)-web algebras for any N greater than one. For N=2 these algebras are i…
sl(N)-Web categories
Marco Mackaay, Yasuyoshi Yonezawa
In this paper we use colored sl(N)-matrix factorizations, due to Wu and Y.Y., in order to categorify part of the quantum skew Howe duality defined by Cautis, Kamnitzer and Morrison…
Categorifications of the extended affine Hecke algebra and the affine q-Schur algebra S(n,r) for 2 < r < n
Marco Mackaay, Anne-Laure Thiel
We categorify the extended affine Hecke algebra and the affine quantum Schur algebra S(n,r) for 2 < r < n, using Elias-Khovanov and Khovanov-Lauda type diagrams. We also define the…