Bordered Heegaard Floer homology / Robert Lipshitz, Peter S. Ozsvath, Dylan P. Thurston.
The authors construct Heegaard Floer theory for 3-manifolds with connected boundary. The theory associates to an oriented, parametrized two-manifold a differential graded algebra. For a three-manifold with parametrized boundary, the invariant comes in two different versions, one of which (type D) is...
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