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

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...

Full description

Saved in:
Bibliographic Details
Superior document:Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020
VerfasserIn:
Kauffman, Louis H.,
Lins, Sostenes,
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.
Tags: Add Tag
No Tags, Be the first to tag this record!
LEADER 08083nam a22019575i 4500
001 9781400882533
003 DE-B1597
005 20220131112047.0
006 m|||||o||d||||||||
007 cr || ||||||||
008 220131t20161994nju fo d z eng d
019 |a (OCoLC)990415133 
020 |a 9781400882533 
024 7 |a 10.1515/9781400882533  |2 doi 
035 |a (DE-B1597)468002 
035 |a (OCoLC)954123965 
040 |a DE-B1597  |b eng  |c DE-B1597  |e rda 
041 0 |a eng 
044 |a nju  |c US-NJ 
050 4 |a QA612.2 
072 7 |a MAT038000  |2 bisacsh 
082 0 4 |a 514/.224 
100 1 |a Kauffman, Louis H.,   |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
245 1 0 |a Temperley-Lieb Recoupling Theory and Invariants of 3-Manifolds (AM-134), Volume 134 /  |c Sostenes Lins, Louis H. Kauffman. 
264 1 |a Princeton, NJ :   |b Princeton University Press,   |c [2016] 
264 4 |c ©1994 
300 |a 1 online resource (312 p.) :  |b 1200 illus. 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
347 |a text file  |b PDF  |2 rda 
490 0 |a Annals of Mathematics Studies ;  |v 134 
505 0 0 |t Frontmatter --   |t Contents --   |t Chapter 1. Introduction --   |t Chapter 2. Bracket Polynomial, Temperley-Lieb Algebra --   |t Chapter 3. Jones-Wenzl Projectors --   |t Chapter 4. The 3-Vertex --   |t Chapter 5. Properties of Projectors and 3-Vertices --   |t Chapter 6. θ-Evaluations --   |t Chapter 7. Recoupling Theory Via Temperley-Lieb Algebra --   |t Chapter 8. Chromatic Evaluations and the Tetrahedron --   |t Chapter 9. A Summary of Recoupling Theory --   |t Chapter 10. A 3-Manifold Invariant by State Summation --   |t Chapter 11. The Shadow World --   |t Chapter 12. The Witten-Reshetikhin- Turaev Invariant --   |t Chapter 13. Blinks ↦ 3-Gems: Recognizing 3-Manifolds --   |t Chapter 14. Tables of Quantum Invariants --   |t Bibliography --   |t Index 
506 0 |a restricted access  |u http://purl.org/coar/access_right/c_16ec  |f online access with authorization  |2 star 
520 |a 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. 
530 |a Issued also in print. 
538 |a Mode of access: Internet via World Wide Web. 
546 |a In English. 
588 0 |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 31. Jan 2022) 
650 0 |a Invariants. 
650 0 |a Knot theory. 
650 0 |a Three-manifolds (Topology). 
650 7 |a MATHEMATICS / Topology.  |2 bisacsh 
653 |a 3-manifold. 
653 |a Addition. 
653 |a Algorithm. 
653 |a Ambient isotopy. 
653 |a Axiom. 
653 |a Backslash. 
653 |a Barycentric subdivision. 
653 |a Bijection. 
653 |a Bipartite graph. 
653 |a Borromean rings. 
653 |a Boundary parallel. 
653 |a Bracket polynomial. 
653 |a Calculation. 
653 |a Canonical form. 
653 |a Cartesian product. 
653 |a Cobordism. 
653 |a Coefficient. 
653 |a Combination. 
653 |a Commutator. 
653 |a Complex conjugate. 
653 |a Computation. 
653 |a Connected component (graph theory). 
653 |a Connected sum. 
653 |a Cubic graph. 
653 |a Diagram (category theory). 
653 |a Dimension. 
653 |a Disjoint sets. 
653 |a Disjoint union. 
653 |a Elaboration. 
653 |a Embedding. 
653 |a Equation. 
653 |a Equivalence class. 
653 |a Explicit formula. 
653 |a Explicit formulae (L-function). 
653 |a Factorial. 
653 |a Fundamental group. 
653 |a Graph (discrete mathematics). 
653 |a Graph embedding. 
653 |a Handlebody. 
653 |a Homeomorphism. 
653 |a Homology (mathematics). 
653 |a Identity element. 
653 |a Intersection form (4-manifold). 
653 |a Inverse function. 
653 |a Jones polynomial. 
653 |a Kirby calculus. 
653 |a Knot theory. 
653 |a Line segment. 
653 |a Linear independence. 
653 |a Matching (graph theory). 
653 |a Mathematical physics. 
653 |a Mathematical proof. 
653 |a Mathematics. 
653 |a Maxima and minima. 
653 |a Monograph. 
653 |a Natural number. 
653 |a Network theory. 
653 |a Notation. 
653 |a Numerical analysis. 
653 |a Orientability. 
653 |a Orthogonality. 
653 |a Pairing. 
653 |a Pairwise. 
653 |a Parametrization. 
653 |a Parity (mathematics). 
653 |a Partition function (mathematics). 
653 |a Permutation. 
653 |a Poincaré conjecture. 
653 |a Polyhedron. 
653 |a Quantum group. 
653 |a Quantum invariant. 
653 |a Recoupling. 
653 |a Recursion. 
653 |a Reidemeister move. 
653 |a Result. 
653 |a Roger Penrose. 
653 |a Root of unity. 
653 |a Scientific notation. 
653 |a Sequence. 
653 |a Significant figures. 
653 |a Simultaneous equations. 
653 |a Smoothing. 
653 |a Special case. 
653 |a Sphere. 
653 |a Spin network. 
653 |a Summation. 
653 |a Symmetric group. 
653 |a Tetrahedron. 
653 |a The Geometry Center. 
653 |a Theorem. 
653 |a Theory. 
653 |a Three-dimensional space (mathematics). 
653 |a Time complexity. 
653 |a Tubular neighborhood. 
653 |a Two-dimensional space. 
653 |a Vector field. 
653 |a Vector space. 
653 |a Vertex (graph theory). 
653 |a Winding number. 
653 |a Writhe. 
700 1 |a Lins, Sostenes,   |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
773 0 8 |i Title is part of eBook package:  |d De Gruyter  |t Princeton Annals of Mathematics eBook-Package 1940-2020  |z 9783110494914  |o ZDB-23-PMB 
773 0 8 |i Title is part of eBook package:  |d De Gruyter  |t Princeton University Press eBook-Package Archive 1927-1999  |z 9783110442496 
776 0 |c print  |z 9780691036403 
856 4 0 |u https://doi.org/10.1515/9781400882533 
856 4 0 |u https://www.degruyter.com/isbn/9781400882533 
856 4 2 |3 Cover  |u https://www.degruyter.com/document/cover/isbn/9781400882533/original 
912 |a 978-3-11-044249-6 Princeton University Press eBook-Package Archive 1927-1999  |c 1927  |d 1999 
912 |a EBA_BACKALL 
912 |a EBA_CL_MTPY 
912 |a EBA_EBACKALL 
912 |a EBA_EBKALL 
912 |a EBA_ECL_MTPY 
912 |a EBA_EEBKALL 
912 |a EBA_ESTMALL 
912 |a EBA_PPALL 
912 |a EBA_STMALL 
912 |a GBV-deGruyter-alles 
912 |a PDA12STME 
912 |a PDA13ENGE 
912 |a PDA18STMEE 
912 |a PDA5EBK 
912 |a ZDB-23-PMB  |c 1940  |d 2020 

Similar Items