Temperley-Lieb Recoupling Theory and Invariants of 3-Manifolds (AM-134), Volume 134 / / Sostenes Lins, Louis H. Kauffman.
This book offers a self-contained account of the 3-manifold invariants arising from the original Jones polynomial. These are the Witten-Reshetikhin-Turaev and the Turaev-Viro invariants. Starting from the Kauffman bracket model for the Jones polynomial and the diagrammatic Temperley-Lieb algebra, hi...
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| Superior document: | Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020 |
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| Place / Publishing House: | Princeton, NJ : : Princeton University Press, , [2016] ©1994 |
| Year of Publication: | 2016 |
| Language: | English |
| Series: | Annals of Mathematics Studies ;
134 |
| Online Access: | |
| Physical Description: | 1 online resource (312 p.) :; 1200 illus. |
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Table of Contents:
- Frontmatter
- Contents
- Chapter 1. Introduction
- Chapter 2. Bracket Polynomial, Temperley-Lieb Algebra
- Chapter 3. Jones-Wenzl Projectors
- Chapter 4. The 3-Vertex
- Chapter 5. Properties of Projectors and 3-Vertices
- Chapter 6. θ-Evaluations
- Chapter 7. Recoupling Theory Via Temperley-Lieb Algebra
- Chapter 8. Chromatic Evaluations and the Tetrahedron
- Chapter 9. A Summary of Recoupling Theory
- Chapter 10. A 3-Manifold Invariant by State Summation
- Chapter 11. The Shadow World
- Chapter 12. The Witten-Reshetikhin- Turaev Invariant
- Chapter 13. Blinks ↦ 3-Gems: Recognizing 3-Manifolds
- Chapter 14. Tables of Quantum Invariants
- Bibliography
- Index