Hyperbolic four-manifolds with vanishing Seiberg-Witten invariants
classification
🧮 math.GT
keywords
hyperbolicinvariantsmanifoldsseiberg-wittenvanishingachievedaddressingarithmetic
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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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