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