Hyperbolic Knots and Torsion in Khovanov Homology

Abstract

In this note, we show that if there is a knot in S 3 having Zm torsion in its Khovanov homology, then there are infinitely many hyperbolic knots and infinitely many prime satellite knots having Zm torsion in their Khovanov homology. As an application, we give the first known examples of hyperbolic knots and links with odd (and other non-Z2 torsion) in their Khovanov homology.