Asymptotic Fredholm Modules, Vector Bundles with Small Variation and a Nonvanishing Theorem for K-Theoretic Indices
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We introduce the concept of asymptotic Fredholm module to prove a nonvanishing theorem for K-theoretic indices of elliptic operators. The nonvanishing theorem is applied to study positive scalar curvature and spectrum of the Laplacian on noncompact manifolds. © 1998 Kluwer Academic Publishers.
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