5 Algebraic geometry

Chapters in this book

1. Frontmatter I
2. Foreword VII
3. Foreword to the second edition IX
4. Introduction XI
5. Contents XIII
6. Part I: Basics
7. 1 Model examples 1
8. 2 Categories and functors 23
9. 3 C∗-algebras 31
10. Part II: Noncommutative invariants
11. 4 Topology 53
12. 5 Algebraic geometry 103
13. 6 Number theory 143
14. 7 Arithmetic topology 207
15. 8 Quantum arithmetic 249
16. Part III: Brief survey of NCG
17. 9 Finite geometries 303
18. 10 Continuous geometries 309
19. 11 Connes geometries 313
20. 12 Index Theory 325
21. 13 Jones polynomials 341
22. 14 Quantum groups 347
23. 15 Noncommutative algebraic geometry 353
24. 16 Trends in noncommutative geometry 359
25. Bibliography 365
26. Index 375