  Ozsvath and Szabo gave a combinatorial description of knot Floer homology
based on a cube of resolutions, which uses maps with twisted coefficients. We
study the t=1 specialization of their construction. The associated spectral
sequence converges to knot Floer homology, and we conjecture that its E_1 page
is isomorphic to the HOMFLY-PT chain complex of Khovanov and Rozansky. At the
level of each E_1 summand, this conjecture can be stated in terms of an
isomorphism between certain Tor groups. As evidence for the conjecture, we
prove that such an isomorphism exists in degree zero.
