|
|
libcats.org
Temperley-Lieb recoupling theory and invariants of 3-manifoldsLouis H. Kauffman, Sostenes LinsThis 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.
Популярные книги за неделю:
Проектирование и строительство. Дом, квартира, садАвтор: Петер Нойферт, Автор: Людвиг Нефф
Размер книги: 20.83 Mb
Система упражнений по развитию способностей человека (Практическое пособие)Автор: Петров Аркадий НаумовичКатегория: Путь к себе
Размер книги: 818 Kb
Сотворение мира (3-х томник)Автор: Петров Аркадий НаумовичКатегория: Путь к себе
Размер книги: 817 Kb
Радиолюбительские схемы на ИС типа 555Автор: Трейстер Р.Категория: Электротехника и связь
Размер книги: 13.64 Mb
Handbook of Antennas in Wireless CommunicationsАвтор: Lester Packer, Автор: Enrique Cadenas
Размер книги: 37.19 Mb
Только что пользователи скачали эти книги:
Cherryh, C. J. - Chanur 1 - The Pride of Chanur_289Автор: C J Cherryh - Ealdwood 01 - The Dreamstone (v4) (HTML)
Размер книги: 455 Kb
Self-Similarity and beyond: Exact Solutions of Nonlinear ProblemsАвтор: Sachdev P.L.
Размер книги: 2.69 Mb
Mergers & Acquisitions: A Condensed Practitioner's GuideАвтор: Steven M. Bragg
Размер книги: 1.20 Mb
Handbook of Public Economics, Volume 2 (Handbooks in Economics)Автор: M. Feldstein, Автор: A.J. AuerbachКатегория: Экономика
Размер книги: 35.96 Mb
Voices of the American Revolution: Stories of Men, Women, and Children Who Forged Our NationАвтор: Kendall Haven
Размер книги: 4.12 Mb
|
|
|