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
8 - Elliptic Operators and K-homology
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
General pairings, and cap and slant products between K-theory and K-homology, including the use of representable K-homology where needed.Spin-c manifolds and using Dirac operators to prove Bott periodicity and Poincaré duality.
Keywords
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- Chapter
- Information
- Higher Index Theory , pp. 321 - 352Publisher: Cambridge University PressPrint publication year: 2020