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- Evaluation 2-functors for Kac–Moody 2-categories of type A2Publication . Mackaay, Marco; Macpherson, James; Vaz, PedroWe construct a 2-functor from the Kac–Moody 2-category for the extended quantum affine sl3 to the homotopy 2-category of bounded chain complexes with values in the Kac–Moody 2-category for quantum gl3 , categorifying the evaluation map between the corresponding quantum Kac–Moody algebras. Our approach establishes and exploits a categorical analogue of the wellknown relation between the evaluation map and Lusztig’s internal braid group action for quantum gl3 .