  We show a connection between a surgery exact sequence in knot Floer homology
and the sequence derived in [18]. As a consequence of this relationship we see
that the exact sequence in [18] also works with coherent orientations and
admits refinements with respect to spinc-structures. As an application of this
discussion, we prove that the ranks of the image and kernel of certain
cobordism maps between knot Floer homologies can be computed combinatorially by
relating them to a count of certain moduli spaces of holomorphic disks.
