Bordism invariance of the coarse index

DOI10.1090/S0002-9939-2012-11546-1zbMath1284.19009arXiv1103.3780MaRDI QIDQ2845543

Christopher Wulff

Publication date: 2 September 2013

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1103.3780

zbMATH Keywords

bordismuniformly positive scalar curvaturecoarse index

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) Exotic index theories on manifolds (58J22) Spin and Spin({}^c) geometry (53C27) Global Riemannian geometry, including pinching (53C20) Specialized structures on manifolds (spin manifolds, framed manifolds, etc.) (57R15) Index theory (19K56)

Related Items (2)

Coarse indices of twisted operators ⋮ Positive scalar curvature and product formulas for secondary index invariants

Cites Work

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• Cusp geometry and the cobordism invariance of the index
• A note on the cobordism invariance of the index
• A \(K\)-theory proof of the cobordism invariance of the index
• Analytic \(K\)-theory on manifolds with corners
• Deficiency indices for symmetric Dirac operators on manifolds with conic singularities
• \(C^*\)-algebras and controlled topology
• New proof of the cobordism invariance of the index
• On Carvalho’s $K$-theoretic formulation of the cobordism invariance of the index
• On the cobordism invariance of the index of Dirac operators
• Coarse topology, enlargeability, and essentialness
• Seminar on Atiyah-Singer Index Theorem. (AM-57)

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