Mapping surgery to analysis II: Geometric signatures

Nigel Higson; John Roe

doi:10.1007/s10977-005-1559-2

Mapping surgery to analysis II: Geometric signatures

Nigel Higson
, John Roe

Research output: Contribution to journal › Article › peer-review

46 Scopus citations

Abstract

We give geometric constructions leading to analytically controlled Poincaré complexes in the sense of the previous paper. In the case of a complete Riemannian manifold we identify the signature of the associated complex with the coarse index of the signature operator.

Original language	English (US)
Pages (from-to)	301-324
Number of pages	24
Journal	K-Theory
Volume	33
Issue number	4
DOIs	https://doi.org/10.1007/s10977-005-1559-2
State	Published - Dec 2004

All Science Journal Classification (ASJC) codes

General Mathematics

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title = "Mapping surgery to analysis II: Geometric signatures",

abstract = "We give geometric constructions leading to analytically controlled Poincar{\'e} complexes in the sense of the previous paper. In the case of a complete Riemannian manifold we identify the signature of the associated complex with the coarse index of the signature operator.",

author = "Nigel Higson and John Roe",

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AU - Roe, John

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Mapping surgery to analysis II: Geometric signatures

Abstract

All Science Journal Classification (ASJC) codes

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