Contractible manifolds with exotic positive scalar curvature behavior
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2017 American Mathematical Society. We construct some contractible manifolds with uncountably many nonconcordant complete positive scalar curvature metrics and some with none at all, detected via a (Formula Presented.)-invariant. The construction uses methods of geometric group theory combined with surgery theory, and the method of obstruction uses a new index theory for complete manifolds that the authors introduced in .