A Categorification of the Burau representation at prime roots of unity

Abstract

We construct a p-DG structure on an algebra Koszul dual to a zigzag algebra used by Khovanov and Seidel to construct a categorical braid group action. We show there is a braid group action in this p-DG setting.

33 pages, many PSTricks figures, color viewing not essential, v2 contains minor corrections, comments welcome

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• On some $p$-differential graded link homologies II
• Enhanced nilHecke algebras and baby Verma modules
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