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