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Francesco Lin (Princeton)

Title: Hyperbolic four-manifolds with vanishing Seiberg-Witten invariants

Abstract: We show the existence of hyperbolic 4-manifolds with   vanishing Seiberg-Witten invariants, addressing a conjecture of Claude   LeBrun. This is achieved by showing, using results in geometric and   arithmetic group theory, that certain hyperbolic 4-manifolds contain   L-spaces as hypersurfaces. This is joint work with Ian Agol.

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