On some <i>p</i>-differential graded link homologies

Abstract We show that the triply graded Khovanov–Rozansky homology of knots and links over a field positive odd characteristic p descends to an invariant in homotopy category finite-dimensional -complexes. A -extended differential on discovered by Cautis is compatible with -DG structure. As consequence, we get categorification Jones polynomial evaluated at $2p$ th root unity.