Kauffman / Lins Temperley-Lieb Recoupling Theory and Invariants of 3-Manifolds (AM-134), Volume 134

1. Auflage 2016
ISBN: 978-1-4008-8253-3
Verlag: De Gruyter
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

E-Book, Englisch, Band 134, 312 Seiten

Reihe: Annals of Mathematics Studies

No detailed description available for "Temperley-Lieb Recoupling Theory and Invariants of 3-Manifolds (AM-134), Volume 134".

Autoren/Hrsg.

Kauffman, Louis H.

Lins, Sostenes

Fachgebiete

• Mathematik | Informatik Mathematik Geometrie Algebraische Geometrie
• Mathematik | Informatik Mathematik Mathematik Allgemein Diskrete Mathematik, Kombinatorik
• Mathematik | Informatik Mathematik Topologie

Inhaltsverzeichnis

1 Introduction 1

2 Bracket Polynomial, Temperley-Lieb Algebra 5

3 Jones-Wenzl Projectors 13

4 The 3-Vertex 22

5 Properties of Projectors and 3-Vertices 36

6 [theta]-Evaluations 45

7 Recoupling Theory Via Temperley-Lieb Algebra 60

8 Chromatic Evaluations and the Tetrahedron 76

9 A Summary of Recoupling Theory 93

10 A 3-Manifold Invariant by State Summation 102

11 The Shadow World 114

12 The Witten-Reshetikhin-Turaev Invariant 129

13 Blinks [actual symbol not reproducible] 3-Gems: Recognizing 3-Manifolds 160

14 Tables of Quantum Invariants 185

Bibliography 290

Index 295

Über Autor(innen)

Louis H. Kauffman is Professor of Mathematics at the University of Illinois, Chicago. Sostenes Lins is Professor of Mathematics at the Universidade Federal de Pernambuco in Recife, Brazil.