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Title:
A splitting theorem for the Seiberg-Witten invariant along a non-separating hypersurface
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Abstract:
I will discuss a splitting theorem for the Seiberg-Witten invariant of a 4-manifold with the homology of S^1 x S^3 that contains a non-separating rational homology sphere. This has a number of applications to questions about existence of positive scalar curvature metrics, homology cobordisms, and knot concordance. This is joint work with Jianfeng Lin and Nikolai Saveliev.
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