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Positive Curvature, Partial Vanishing Theorems and Coarse Indices

Part of: Partial differential equations on manifolds; differential operators $K$-theory and operator algebras

Published online by Cambridge University Press:  22 July 2015

John Roe
John Roe*
Affiliation:
Department of Mathematics, Penn State University, University Park, PA 16802, USA ([email protected])
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Abstract

We generalize the relative index theorem of Gromov and Lawson, using coarse geometry.

Keywords

index theoremWeitzenbock formulacoarse geometry

MSC classification

Secondary: 58J22: Exotic index theories 19K56: Index theory
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 59 , Issue 1 , February 2016 , pp. 223 - 233
Copyright
Copyright © Edinburgh Mathematical Society 2016 

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References

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