Quantum Riemannian Geometry
This book provides a comprehensive account of a modern generalisation of differential geometry in which coordinates need not commute. This requires a reinvention of differential geometry that refers only to the coordinate algebra, now possibly noncommutative, rather than to actual points. Such a the...
| Main Authors: | , |
|---|---|
| Format: | eBook |
| Language: | English |
| Published: |
Cham
Springer International Publishing
2020, 2020
|
| Edition: | 1st ed. 2020 |
| Series: | Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics
|
| Subjects: | |
| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of Contents:
- Differentials On An Algebra
- Hopf Algebras and Their Bicovariant Calculi
- Vector Bundles and Connections
- Curvature, Cohomology and Sheaves
- Quantum Principal Bundles and Framings
- Vector Fields and Differential Operators
- Quantum Complex Structures
- Quantum Riemannian Structures
- Quantum Spacetime
- Solutions
- References
- Index