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.

8 pages, 2 figures

References in corpus (1)

• Hyperbolic Manifolds, Harmonic Forms, and Seiberg-Witten Invariants

Cited by in corpus (1)

• A note on embeddings of 3-manifolds in symplectic 4-manifolds