An Introduction to Noncommutative Geometry
Joseph C. Várilly
Universidad de Costa Rica
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| FrontmatterDownload pp. i–iv | |
| ContentsDownload pp. v–vi | |
| IntroductionDownload pp. vii–viii | |
| 1 | Commutative geometry from the noncommutative point of viewpp. 1–10 |
| 2 | Spectral triples on the Riemann spherepp. 11–20 |
| 3 | Real spectral striples: the axiomatic foundationpp. 21–31 |
| 4 | Geometries on the noncommutative toruspp. 32–42 |
| 5 | The noncommutative integralpp. 43–52 |
| 6 | Quantization and the tangent groupoidpp. 53–64 |
| 7 | Equivalence of geometriespp. 65–74 |
| 8 | Action functionalspp. 75–84 |
| 9 | Epilogue: new directionspp. 85–95 |
| Bibliographypp. 97–108 | |
| Indexpp. 109–113 |