Functorial knot theory : categories of tangles, coherence, categorical deformations, and topological invariants /
Almost since the advent of skein-theoretic invariants of knots and links (the Jones, HOMFLY, and Kauffman polynomials), the important role of categories of tangles in the connection between low-dimensional topology and quantum-group theory has been recognized. The rich categorical structures natural...
| Основен автор: | Yetter, David N. |
|---|---|
| Формат: | Електронна книга |
| Език: | English |
| Публикувано: |
Singapore ; River Edge, NJ :
World Scientific,
℗♭2001.
|
| Серия: |
K & E series on knots and everything ;
v. 26. |
| Предмети: | |
| Онлайн достъп: |
http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=235892 |
| Подобни документи: |
Print version::
Functorial knot theory. |
Съдържание:
- 1. Introduction
- I. Knots and categories. 2. Basic concepts. 2.1. Knots. 2.2. Categories
- 3. Monoidal categories, functors and natural transformations
- 4. A digression on algebras
- 5. More about monoidal categories
- 6. Knot polynomials
- 7. Categories of tangles
- 8. Smooth tangles and PL tangles
- 9. Shum's theorem
- 10. A little enriched category theory
- II. Deformations. 11. Introduction
- 12. Definitions
- 13. Deformation complexes of semigroupal categories and functors
- 14. Some useful cochain maps
- 15. First order deformations
- 16. Obstructions and cup product and pre-Lie structures on X[symbol](F)
- 17. Units
- 18. Extrinsic deformations of monoidal categories
- 19. Vassiliev invariants, framed and unframed
- 20. Vassiliev theory in characteristic 2
- 21. Categorical deformations as proper generalizations of classical notions
- 22. Open questions. 22.1. Functorial knot theory. 22.2. Deformation theory.