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. |
| Резюме: |
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 naturally arising from the considerations of cobordisms have suggested functorial views of topological field theory. This book begins with a detailed exposition of the key ideas in the discovery of monoidal categories of tangles as central objects of study in low-dimensional topology. The focus then turns to the deformation theory of monoidal categories and the related deformation theory of monoidal functors, which is a proper generalization of Gerstenhaber's deformation theory of associative algebras. These serve as the building blocks for a deformation theory of braided monoidal categories which gives rise to sequences of Vassiliev invariants of framed links, and clarify their interrelations. |
|---|---|
| Физически характеристики: |
1 online resource (230 pages) : illustrations. |
| Библиография: |
Includes bibliographical references (pages 219-224) and index. |
| ISBN: |
9789812810465 9812810463 |