The Khovanov homology of (p,-p,q) pretzel knots.

link: http://arxiv.org/abs/0909.1853
Abstract

The (p,-p,q) pretzel knots are one of the few classes of pretzel knots, where
it is not known whether they are quasi-alternating. Thus we do not know that we
can calculate the Khovanov homology simply from the Jones polynomial and knot
signature. In this paper, we compute the Khovanov homology for (p,-p,q) pretzel
knots for p=3,5,7,9,11 and arbitrarily large q, finding that these knots have
thin Khovanov homology. We provide a conjecture for the general form of the
Khovanov homology of (p,-p,q) pretzel knots.