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Positive scalar curvature and product formulas for secondary index invariants

Positive scalar curvature and product formulas for secondary index invariants

We introduce partial secondary invariants associated to complete Riemannian metrics which have uniformly positive scalar curvature (upsc) outside a prescribed subset on a spin manifold. These can be used to distinguish such Riemannian metrics up to concordance relative to the prescribed subset. We exhibit a general external product formula for …