Chapter I. Invariants of graphs in Euclidean 3-space

Chapters in this book

1. Frontmatter I
2. Contents VII
3. Introduction 1
4. Part I. Towards Topological Field Theory
5. Chapter I. Invariants of graphs in Euclidean 3-space 17
6. Chapter II. Invariants of closed 3-manifolds 72
7. Chapter III. Foundations of topological quantum field theory 118
8. Chapter IV. Three-dimensional topological quantum field theory 152
9. Chapter V. Two-dimensional modular functors 236
10. Part II. The Shadow World
11. Chapter VI. 6j-symbols 301
12. Chapter VII. Simplicial state sums on 3-manifolds 345
13. Chapter VIII. Generalities on shadows 367
14. Chapter IX. Shadows of manifolds 394
15. Chapter X. State sums on shadows 435
16. Part III. Towards Modular Categories
17. Chapter XI. An algebraic construction of modular categories 493
18. Chapter XII. A geometric construction of modular categories 518
19. Appendix I. Dimension and trace re-examined 561
20. Appendix II. Vertex models on link diagrams 563
21. Appendix III. Gluing re-examined 565
22. Appendix IV. The signature of closed 4-manifolds from a state sum 568
23. Problems 571
24. References 573
25. Subject index 585