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• W2554928030 abstract "A Dirac-type operator on a complete Riemannian manifold is of Callias-type if its square is a Schrodinger-type operator with a potential uniformly positive outside of a compact set. We develop the theory of Callias-type operators twisted with Hilbert $C^ast$-module bundles and prove an index theorem for such operators. As an application, we derive an obstruction to the existence of complete Riemannian metrics of positive scalar curvature on noncompact spin manifolds in terms of closed submanifolds of codimension-one." @default.
• W2554928030 created "2016-11-30" @default.
• W2554928030 creator A5015255411 @default.
• W2554928030 date "2016-11-06" @default.
• W2554928030 modified "2023-09-27" @default.
• W2554928030 title "Callias-type operators in $C^ast$-algebras and positive scalar curvature on noncompact manifolds" @default.
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• W2554928030 hasPublicationYear "2016" @default.
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