Mapping surgery to analysis II: Geometric signatures

Nigel Higson, John Roe

Research output: Contribution to journalArticle

15 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 languageEnglish (US)
Pages (from-to)301-324
Number of pages24
JournalK-Theory
Volume33
Issue number4
DOIs
StatePublished - Dec 1 2004

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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