A note on the cobordism invariance of the index
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Publication:808072
DOI10.1016/0040-9383(91)90024-XzbMath0731.58065MaRDI QIDQ808072
Publication date: 1991
Published in: Topology (Search for Journal in Brave)
(K)-theory and operator algebras (including cyclic theory) (46L80) Exotic index theories on manifolds (58J22) Other types of cobordism (57R90)
Related Items (25)
Guide to Elliptic Boundary Value Problems for Dirac-Type Operators ⋮ Cobordism invariance of the family index ⋮ \(K\)-homology and Fredholm operators. I: Dirac operators ⋮ A \(K\)-theoretic relative index theorem and Callias-type Dirac operators ⋮ On an intermediate bivariant \(K\)-theory for \(C^*\)-algebras ⋮ A \(K\)-theory proof of the cobordism invariance of the index ⋮ Rho-classes, index theory and Stolz’ positive scalar curvature sequence ⋮ A cyclic cocycle and relative index theorems on partitioned manifolds ⋮ Index theory in spaces of manifolds ⋮ Width, largeness and index theory ⋮ Callias-type operators in von Neumann algebras ⋮ Cusp geometry and the cobordism invariance of the index ⋮ New proof of the cobordism invariance of the index ⋮ Index theory and partitioning by enlargeable hypersurfaces ⋮ \(C^\ast\)-algebraic higher signatures and an invariance theorem in codimension two ⋮ Additivity of higher rho invariant for the topological structure group from a differential point of view ⋮ Positive scalar curvature and product formulas for secondary index invariants ⋮ Orbifold index cobordism invariance ⋮ Vacuum configuration for inflationary superstring ⋮ Bordism invariance of the coarse index ⋮ A note on some classical results of Gromov-Lawson ⋮ On Carvalho’s $K$-theoretic formulation of the cobordism invariance of the index ⋮ On the index of Callias-type operators ⋮ Band width estimates via the Dirac operator ⋮ Cobordism invariance and the well-definedness of local index
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