Pseudoholomorphic quilts and Khovanov homology:

We generalize the symplectically-defined link homology theory developed by Paul Seidel and Ivan Smith to an invariant of tangles. We obtain a group-valued invariant, a functor-valued (or symplectic-valued functor) invariant and an ay functor-valued one for tangles. We provide evidence for the equivalence of this invariant with Khovanov's combinatorially defined invariant by showing the equivalence for flat (crossingless) tangles and their cobordisms. We also obtain an exact triangle for the Seidel-Smith invariant similar to that of Khovanov.Ph.D.Includes bibliographical references (p. 91-93)by Reza Rezazadega