Nazaikinskii, Vladimir E.
Elliptic Theory and Noncommutative Geometry
1. Introduction
Part I.Analysis of Nonlocal Elliptic Operators
2. Nonlocal Functions and Bundles
3. Nonlocal Elliptic Operators
4. Elliptic Operators over
Part II.Homotopy Invariants of Nonlocal Elliptic Operators
5. Homotopy Classification
6. Analytic Invariants
7. Bott Periodicity
8. Direct Image and Index Formulas in
9. Chern Character
10. Cohomological Index Formula
11. Cohomological Formula for the ?-Index
12. Index of Nonlocal Operators over
Part III.Examples
13. Index Formula on the Noncommutative Torus
14. An Application of Higher Traces
15. Index Formula for a Finite Group ?
DRM-restrictions
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Keywords: MATHEMATICS / General MAT000000
- Author(s)
- Nazaikinskii, Vladimir E.
- Savin, Anton Yu.
- Sternin, Boris Yu.
- Publisher
- Springer
- Publication year
- 2008
- Language
- en
- Edition
- 1
- Category
- Natural Sciences
- Format
- Ebook
- eISBN (PDF)
- 9783764387754