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September, 2001 Index Theory with Bounded Geometry, the Uniformly Finite  Class, and Infinite Connected Sums
Kevin Whyte
J. Differential Geom. 59(1): 1-14 (September, 2001). DOI: 10.4310/jdg/1090349278

Abstract

We prove a vanishing theorem in uniformly finite homology for the  genus of a complete spin manifold of bounded geometry and non-negative scalar curvature. This theorem is then applied to obstruct the existence of such metrics for some infinite connected sums, giving a converse to a theorem of Block and Weinberger.

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Kevin Whyte. "Index Theory with Bounded Geometry, the Uniformly Finite  Class, and Infinite Connected Sums." J. Differential Geom. 59 (1) 1 - 14, September, 2001. https://doi.org/10.4310/jdg/1090349278

Information

Published: September, 2001
First available in Project Euclid: 20 July 2004

zbMATH: 1031.58013
MathSciNet: MR1909246
Digital Object Identifier: 10.4310/jdg/1090349278

Rights: Copyright © 2001 Lehigh University

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Vol.59 • No. 1 • September, 2001
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