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arXiv · 2409.10434

Evaluation 2-Functors for Kac-Moody 2-Categories of Type A2

Marco Mackaay·James Macpherson·Pedro Vaz
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Abstract

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-category for quantum gl(3), categorifying the evaluation map between the corresponding quantum Kac-Moody algebras.

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Marco Mackaay, James Macpherson, Pedro Vaz. 2024-09-16. Evaluation 2-Functors for Kac-Moody 2-Categories of Type A2. https://doi.org/10.2140/pjm.2026.341.103

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