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Temperley-Lieb Recoupling Theory and Invariants of 3-Manifolds (AM-134)
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- Buy it nowTemperley-Lieb Recoupling Theory and Invariants of 3-Manifolds (AM-134)
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eBay item number:125081376847
Item specifics
- Condition
- Very Good
- Seller notes
- ISBN
- 9780691036403
- Publication Name
- Temperley-Lieb Recoupling Theory and Invariants of 3-Manifolds (Am-134) , Volume 134
- Item Length
- 9.2in
- Publisher
- Princeton University Press
- Publication Year
- 1994
- Series
- Annals of Mathematics Studies
- Type
- Textbook
- Format
- Trade Paperback
- Language
- English
- Item Height
- 0.7in
- Item Width
- 6.4in
- Item Weight
- 15 Oz
- Number of Pages
- 312 Pages
About this product
Product Information
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, higher-order polynomial invariants of links are constructed and combined to form the 3-manifold invariants. The methods in this book are based on a recoupling theory for the Temperley-Lieb algebra. This recoupling theory is a q-deformation of the SU(2) spin networks of Roger Penrose. The recoupling theory is developed in a purely combinatorial and elementary manner. Calculations are based on a reformulation of the Kirillov-Reshetikhin shadow world, leading to expressions for all the invariants in terms of state summations on 2-cell complexes. Extensive tables of the invariants are included. Manifolds in these tables are recognized by surgery presentations and by means of 3-gems (graph encoded 3-manifolds) in an approach pioneered by Sostenes Lins. The appendices include information about gems, examples of distinct manifolds with the same invariants, and applications to the Turaev-Viro invariant and to the Crane-Yetter invariant of 4-manifolds.
Product Identifiers
Publisher
Princeton University Press
ISBN-10
0691036403
ISBN-13
9780691036403
eBay Product ID (ePID)
1118226
Product Key Features
Publication Name
Temperley-Lieb Recoupling Theory and Invariants of 3-Manifolds (Am-134) , Volume 134
Format
Trade Paperback
Language
English
Publication Year
1994
Series
Annals of Mathematics Studies
Type
Textbook
Number of Pages
312 Pages
Dimensions
Item Length
9.2in
Item Height
0.7in
Item Width
6.4in
Item Weight
15 Oz
Additional Product Features
Series Volume Number
134
Lc Classification Number
Qa612.2.K39 1994
Reviews
"This extremely useful volume provides a self-contained treatment of the construction of 3-manifold invariants directly from the combinatorics of the Jones polynomial in Kauffman's bracket formulation."-- Mathematical Reviews, "This extremely useful volume provides a self-contained treatment of the construction of 3-manifold invariants directly from the combinatorics of the Jones polynomial in Kauffman's bracket formulation." -- Mathematical Reviews, This extremely useful volume provides a self-contained treatment of the construction of 3-manifold invariants directly from the combinatorics of the Jones polynomial in Kauffman's bracket formulation. -- Mathematical Reviews, This extremely useful volume provides a self-contained treatment of the construction of 3-manifold invariants directly from the combinatorics of the Jones polynomial in Kauffman's bracket formulation.
Table of Content
1Introduction12Bracket Polynomial, Temperley-Lieb Algebra53Jones-Wenzl Projectors134The 3-Vertex225Properties of Projectors and 3-Vertices366[theta]-Evaluations457Recoupling Theory Via Temperley-Lieb Algebra608Chromatic Evaluations and the Tetrahedron769A Summary of Recoupling Theory9310A 3-Manifold Invariant by State Summation10211The Shadow World11412The Witten-Reshetikhin-Turaev Invariant12913Blinks [actual symbol not reproducible] 3-Gems: Recognizing 3-Manifolds16014Tables of Quantum Invariants185Bibliography290Index295
Copyright Date
1994
Topic
Geometry / Differential, General, Topology, Combinatorics, Geometry / Algebraic
Lccn
94-015512
Dewey Decimal
514/.224
Intended Audience
College Audience
Dewey Edition
20
Illustrated
Yes
Genre
Mathematics
Item description from the seller
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eBay item number:125081376847
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