We compute the Yamabe invariants for a new infinite class of closed 4-dimensional manifolds by using a "twisted" version of the Seiberg-Witten equations, the Pin- (2)-monopole equations. The same technique also provides a new obstruction to the existence of Einstein metrics or long-time solutions of the normalised Ricci flow with uniformly bounded scalar curvature.
|Number of pages||21|
|Journal||Mathematical Research Letters|
|Publication status||Published - 2016|
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