Google full text of our books:

     
bookjacket

Temperley-Lieb Recoupling Theory and Invariants of 3-Manifolds (AM-134)
Louis H. Kauffman & Sostenes Lins

Paperback | 1994 | $115.00 | ($69.00) | £85.95 | ISBN: 9780691036403
312 pp. | 6 x 9 | 1200 illus.
Add to Shopping Cart

eBook | ISBN: 9781400882533 |
Our eBook editions are available from these online vendors

Reviews | Table of Contents

Google full text of this book:
 

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.

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

Table of Contents

Another Princeton book authored or coauthored by Louis H. Kauffman:

Series:

Subject Area:

VISIT OUR MATH WEBSITE

Shopping Cart options:

  • For ebooks:

Our eBook editions are available
from these online vendors:

  • Google Play eBook Store
  • Many of our ebooks are available through
    library electronic resources including these platforms:

  • Books at JSTOR
  • Ebrary
  • Ebook Library
  • EBSCO Ebooks
  • MyiLibrary
  • Dawsonera (UK)

    • For hardcover/paperback orders in United States, Canada, Latin America, Asia, and Australia

     Paperback $115.00 | ($69.00) ISBN: 9780691036403

    Add to shopping cart
    View contents of your shopping cart

    • For hardcover/paperback orders in Europe, Africa, the Middle East, India, and Pakistan

     Paperback  £85.95 ISBN: 9780691036403

    Add to shopping cart
    View contents of your shopping cart

    Prices subject to change without notice

    File created: 8/31/2016

    Questions and comments to: webmaster@press.princeton.edu
    Princeton University Press

    fall saleFall 16 Sale
    New Book E-mails
    New In Print
    PUP Blog
    Videos/Audios
    Princeton APPS
    Sample Chapters
    Subjects
    Series
    Catalogs
    Princeton Legacy Library
    Exam/Desk Copy
    Textbooks
    Media/Reviewers
    Rights/Permissions
    Ordering
    Recent Awards
    Princeton Shorts
    Freshman Reading
    PUP Europe
    About Us
    Contact Us
    Links
    F.A.Q.
    MATH SITE
    PUP Home


    Bookmark and Share
    Send me emails
    about new books in:
    Mathematics
    More Choices