Mapping surgery to analysis II: Geometric signatures

Nigel Higson, John Roe

Research output: Contribution to journalArticlepeer-review

42 Scopus citations


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
Issue number4
StatePublished - Dec 2004

All Science Journal Classification (ASJC) codes

  • General Mathematics


Dive into the research topics of 'Mapping surgery to analysis II: Geometric signatures'. Together they form a unique fingerprint.

Cite this