Positive scalar curvature on manifolds with abelian fundamental groups

Positive scalar curvature on manifolds with abelian fundamental groups

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Bernhard Hanke, University of Augsburg
Fine Hall 214

We introduce Riemannian metrics of positive scalar curvature on manifolds with Baas-Sullivan singularities. This allows us to define a flexible notion of positive homology and to prove a homological invariance principle for positive scalar curvature metrics. This is applied in order to construct positive scalar curvature metrics on manifolds with odd order abelian fundamental groups. Our calculation uses a linearized version of Brown-Peterson homology theory.