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Scalar curvature, covering spaces, and Seiberg-Witten theory. (English) Zbl 1046.53024
The author constructs examples of \(4\)-dimensional manifolds which have negative Yamabe invariants and such that their finite covering spaces have positive Yamabe invariants.

MSC:
53C21 Methods of global Riemannian geometry, including PDE methods; curvature restrictions
57R57 Applications of global analysis to structures on manifolds
58E11 Critical metrics
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