Book contents
- Frontmatter
- Dedication
- Contents
- Introduction
- Part One Background
- Part Two Roe Algebras, Localisation Algebras and Assembly
- Part Three Differential Operators
- 8 Elliptic Operators and K-homology
- 9 Products and Poincaré Duality
- 10 Applications to Algebra, Geometry and Topology
- Part Four Higher Index Theory and Assembly
- Appendices
- References
- Index of Symbols
- Index
10 - Applications to Algebra, Geometry and Topology
from Part Three - Differential Operators
Published online by Cambridge University Press: 11 June 2020
Book contents
- Frontmatter
- Dedication
- Contents
- Introduction
- Part One Background
- Part Two Roe Algebras, Localisation Algebras and Assembly
- Part Three Differential Operators
- 8 Elliptic Operators and K-homology
- 9 Products and Poincaré Duality
- 10 Applications to Algebra, Geometry and Topology
- Part Four Higher Index Theory and Assembly
- Appendices
- References
- Index of Symbols
- Index
Summary
Introduction of almost constant bundles as a simpler variant of non-constant bundles, and using these to give an elementary approach to assembly maps.Applications tp the existence of positive scalar curvature using CAT(0) geometry.
- Type
- Chapter
- Information
- Higher Index Theory , pp. 393 - 416Publisher: Cambridge University PressPrint publication year: 2020