Chapter 12. The extended Jones polynomial

Chapters in this book

1. Frontmatter I
2. Chapter 1. Introduction 1
3. Chapter 2. Basic notions of knot theory 10
4. Chapter 3. Framing in field theory 23
5. Chapter 4. Non-Abelian Chern-Simons theory 31
6. Chapter 5. Observables and perturbation theory 42
7. Chapter 6. Properties of the expectation values 47
8. Chapter 7. Ordering fermions and knot observables 58
9. Chapter 8. Braid group 66
10. Chapter 9. R-matrix and braids 74
11. Chapter 10. Chern-Simons monodromies 83
12. Chapter 11. Defining relations 92
13. Chapter 12. The extended Jones polynomial 102
14. Chapter 13. General properties 127
15. Chapter 14. Unitary groups 161
16. Chapter 15. Reduced tensor algebra 187
17. Chapter 16. Surgery on three-manifolds 208
18. Chapter 17. Surgery and field theory 228
19. Chapter 18. Observables in three-manifolds 249
20. Chapter 19. Three-manifold invariant 272
21. Chapter 20. Abelian surgery invariant 283
22. References 303
23. Subject Index 311
24. Backmatter 313