Rewriting modulo isotopies computes bases for 2-cells in the KLR 2-category that match Khovanov-Lauda conjectures, proving non-degeneracy and thus categorification of Lusztig's integral quantum group.
On the definition of Kac-Moody 2-category
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abstract
We show that the Kac-Moody 2-categories defined by Rouquier and by Khovanov and Lauda are the same.
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Rewriting modulo isotopies in Khovanov-Lauda-Rouquier's categorification of quantum groups
Rewriting modulo isotopies computes bases for 2-cells in the KLR 2-category that match Khovanov-Lauda conjectures, proving non-degeneracy and thus categorification of Lusztig's integral quantum group.