  The topological string interpretation of homological knot invariants has led
to several insights into the structure of the theory in the case of sl(N). We
study possible extensions of the matrix factorization approach to knot homology
for other Lie groups and representations. In particular, we introduce a new
triply graded theory categorifying the Kauffman polynomial, test it, and
predict the Kauffman homology for several simple knots.
