On sl(N) link homology with mod N coefficients

Abstract

We construct an operator on sl(N) link homology with coefficients in a ring whose characteristic divides N. When P is prime, we use this operator to exhibit structural features of sl(P) link homology that are special to characteristic P that generalize well-known features of Khovanov homology that are special to characteristic 2.

28 pages, 4 figures, minor edits, added section 5

References in corpus (1)

• Floer homology and knot complements

Cited by in corpus (2)

• Symmetries of ${\mathfrak{gl}}_N$-foams
• An Exceptional Splitting of Khovanov's Arc Algebras in Characteristic 2