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Title:
Heegaard Floer invariants in codimension one
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Abstract:
Using Heegaard Floer homology, we construct a numerical invariant for any smooth, oriented 4-manifold X with the homology of a product of circle and 3-sphere. Specifically, we show that for any smoothly embedded, non-separating 3-manifold , a suitable version of the Heegaard Floer d invariant of Y, defined using twisted coefficients, is a diffeomorphism invariant of X. We show how this invariant can be used to obstruct embeddings of certain types of 3-manifolds. This is joint work with Adam Levine.
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