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Colored Khovanov homology theories at prime roots of unity

You Qi, Louis-Hadrien Robert, Joshua Sussan, Emmanuel Wagner

math.GTarXiv:2610.01122

Abstract

We equip Khovanov's colored gl(2)-homology groups with a degree-2 derivation. Over a field of characteristic p>2, the derivation specializes to a p-nilpotent differential, which leads to a categorification of colored gl(2)-homology at a 2pth root of unity.

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