Gracia-Bondia, Jose M.

Elements of noncommutative geometry/ Jose M. Gracia-Bondia, Joseph C. Varilly and Hector Figueroa - Boston: Birkhauser, 2001. - xvi, 685 p. ; 24 cm.

I. Topology
1. Noncommutative Topology: Spaces
2. Noncommutative Topology: Vector Bundles
3. Some Aspects of K-theory
4. Fredholm Operators on C-modules
II. Calculus and Linear Algebra
5. Finite-dimensional Clifford Algebras and Spinors
6. The Spin Representation
7. The Noncommutative Integral
8. Noncommutative Differential Calculi
III. Geometry
9. Commutative Geometries
10. Spectral Triples
11. Connes' Spin Manifold Theorem
IV. Trends
12. Tori
13. Quantum Theory
14. Kreimer-Connes-Moscovici Algebras

9780817641245


Noncommutative rings
Global differential geometry
Mathematics

516.35 / BON/E