Hyperbolic four-manifolds with vanishing Seiberg-Witten invariants

Published 16 Dec 2018 in math.GT | (1812.06536v1)

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.

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