An Introduction to Noncommutative Differential Geometry and its Physical Applications

A thoroughly revised introduction to non-commutative geometry.

J. Madore (Author)

9780521659918, Cambridge University Press

Paperback, published 24 June 1999

380 pages
22.8 x 15.3 x 2.3 cm, 0.544 kg

'… clearly written authoritative text …'. A. I. Solomon, Contemporary Physics

This is an introduction to non-commutative geometry, with special emphasis on those cases where the structure algebra, which defines the geometry, is an algebra of matrices over the complex numbers. Applications to elementary particle physics are also discussed. This second edition is thoroughly revised and includes new material on reality conditions and linear connections plus examples from Jordanian deformations and quantum Euclidean spaces. Only some familiarity with ordinary differential geometry and the theory of fibre bundles is assumed, making this book accessible to graduate students and newcomers to this field.

1. Introduction
2. Differential geometry
3. Matrix geometry
4. Non-commutative geometry
5. Vector bundles
6. Cyclic homology
7. Modifications of space-time
8. Extensions of space-time.

Subject Areas: Differential & Riemannian geometry [PBMP]