Turaev, Vladimir
Monoidal Categories and Topological Field Theory
Part I. Monoidal Categories
1. Monoidal categories and functors
Vladimir Turaev, Alexis Virelizier
2. The graphical calculus
Vladimir Turaev, Alexis Virelizier
3. Braided categories
Vladimir Turaev, Alexis Virelizier
4. Fusion categories
Vladimir Turaev, Alexis Virelizier
5. The center of a monoidal category
Vladimir Turaev, Alexis Virelizier
Part II. Hopf Algebras and Monads
6. Hopf algebras in braided categories
Vladimir Turaev, Alexis Virelizier
7. Monads and bimonads
Vladimir Turaev, Alexis Virelizier
8. Hopf monads
Vladimir Turaev, Alexis Virelizier
9. Monadicity of the center
Vladimir Turaev, Alexis Virelizier
Part III. State Sum Topological Field Theory
10. Topological Quantum Field Theory
Vladimir Turaev, Alexis Virelizier
11. Skeletons of 3-manifolds
Vladimir Turaev, Alexis Virelizier
12. Multiplicity modules and colored graphs
Vladimir Turaev, Alexis Virelizier
13. The state sum TQFT
Vladimir Turaev, Alexis Virelizier
Part IV. Graph Topological Field Theory
14. Ribbon graphs in 3-manifolds
Vladimir Turaev, Alexis Virelizier
15. The state sum graph TQFT
Vladimir Turaev, Alexis Virelizier
16. Properties of the state sum graph TQFT
Vladimir Turaev, Alexis Virelizier
17. Surgery computation
Vladimir Turaev, Alexis Virelizier
Nyckelord: Mathematics, Category Theory, Homological Algebra, Manifolds and Cell Complexes (incl. Diff.Topology)
- Författare
- Turaev, Vladimir
- Virelizier, Alexis
- Utgivare
- Springer
- Utgivningsår
- 2017
- Språk
- en
- Utgåva
- 1
- Serie
- Progress in Mathematics
- Kategori
- Naturvetenskaper
- Format
- E-bok
- eISBN (PDF)
- 9783319498348
- Tryckt ISBN
- 978-3-319-49833-1