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A categorification of quantum $\mathfrak{sl}_3$ projectors and the $\mathfrak{sl}_3$ Reshetikhin–Turaev invariant of tangles
We construct a categorification of the quantum \mathfrak{sl}_3 projectors, the \mathfrak{sl}_3 analog of the Jones–Wenzl projectors, as the stable limit of the complexes assigned to k -twist torus braids (as k \to \infty ) in a suitably shifted version of Morrison and Nieh’s geometric formulation of \mathfrak{sl}_3 link homology [14] …