Braid Group Knot Theory And Statistical Mechanics Ii
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Author |
: Chen Ning Yang |
Publisher |
: World Scientific |
Total Pages |
: 496 |
Release |
: 1994 |
ISBN-10 |
: 981021524X |
ISBN-13 |
: 9789810215248 |
Rating |
: 4/5 (4X Downloads) |
Synopsis Braid Group, Knot Theory, and Statistical Mechanics II by : Chen Ning Yang
The present volume is an updated version of the book edited by C N Yang and M L Ge on the topics of braid groups and knot theory, which are related to statistical mechanics. This book is based on the 1989 volume but has new material included and new contributors.
Author |
: Mo-lin Ge |
Publisher |
: World Scientific |
Total Pages |
: 341 |
Release |
: 1991-06-05 |
ISBN-10 |
: 9789814507424 |
ISBN-13 |
: 9814507423 |
Rating |
: 4/5 (24 Downloads) |
Synopsis Braid Group, Knot Theory And Statistical Mechanics by : Mo-lin Ge
Contents:Notes on Subfactors and Statistical Mechanics (V F R Jones)Polynomial Invariants in Knot Theory (L H Kauffman)Algebras of Loops on Surfaces, Algebras of Knots, and Quantization (V G Turaev)Quantum Groups (L Faddeev et al.)Introduction to the Yang-Baxter Equation (M Jimbo)Integrable Systems Related to Braid Groups and Yang-Baxter Equation (T Kohno)The Yang-Baxter Relation: A New Tool for Knot Theory (Y Akutsu et al.)Akutsu-Wadati Link Polynomials from Feynman-Kauffman Diagrams (M-L Ge et al.)Quantum Field Theory and the Jones Polynomial (E Witten) Readership: Mathematical physicists.
Author |
: C. N. Yang |
Publisher |
: |
Total Pages |
: 329 |
Release |
: 1989 |
ISBN-10 |
: OCLC:823498151 |
ISBN-13 |
: |
Rating |
: 4/5 (51 Downloads) |
Synopsis Braid group, knot theory and statistical mechanics by : C. N. Yang
Author |
: Toshitake Kohno |
Publisher |
: World Scientific |
Total Pages |
: 918 |
Release |
: 1990-08-31 |
ISBN-10 |
: 9789814507011 |
ISBN-13 |
: 9814507016 |
Rating |
: 4/5 (11 Downloads) |
Synopsis New Developments In The Theory Of Knots by : Toshitake Kohno
This reprint volume focuses on recent developments in knot theory arising from mathematical physics, especially solvable lattice models, Yang-Baxter equation, quantum group and two dimensional conformal field theory. This volume is helpful to topologists and mathematical physicists because existing articles are scattered in journals of many different domains including Mathematics and Physics. This volume will give an excellent perspective on these new developments in Topology inspired by mathematical physics.
Author |
: Ruben Aldrovandi |
Publisher |
: World Scientific |
Total Pages |
: 214 |
Release |
: 2021-10-14 |
ISBN-10 |
: 9789811248504 |
ISBN-13 |
: 9811248508 |
Rating |
: 4/5 (04 Downloads) |
Synopsis A Gentle Introduction To Knots, Links And Braids by : Ruben Aldrovandi
The interface between Physics and Mathematics has been increasingly spotlighted by the discovery of algebraic, geometric, and topological properties in physical phenomena. A profound example is the relation of noncommutative geometry, arising from algebras in mathematics, to the so-called quantum groups in the physical viewpoint. Two apparently unrelated puzzles — the solubility of some lattice models in statistical mechanics and the integrability of differential equations for special problems — are encoded in a common algebraic condition, the Yang-Baxter equation. This backdrop motivates the subject of this book, which reveals Knot Theory as a highly intuitive formalism that is intimately connected to Quantum Field Theory and serves as a basis to String Theory.This book presents a didactic approach to knots, braids, links, and polynomial invariants which are powerful and developing techniques that rise up to the challenges in String Theory, Quantum Field Theory, and Statistical Physics. It introduces readers to Knot Theory and its applications through formal and practical (computational) methods, with clarity, completeness, and minimal demand of requisite knowledge on the subject. As a result, advanced undergraduates in Physics, Mathematics, or Engineering, will find this book an excellent and self-contained guide to the algebraic, geometric, and topological tools for advanced studies in theoretical physics and mathematics.
Author |
: W.B.Raymond Lickorish |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 218 |
Release |
: 1997-10-03 |
ISBN-10 |
: 9780387982540 |
ISBN-13 |
: 038798254X |
Rating |
: 4/5 (40 Downloads) |
Synopsis An Introduction to Knot Theory by : W.B.Raymond Lickorish
Exercises in each chapter
Author |
: L.A. Lambe |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 314 |
Release |
: 2013-11-22 |
ISBN-10 |
: 9781461541097 |
ISBN-13 |
: 1461541093 |
Rating |
: 4/5 (97 Downloads) |
Synopsis Introduction to the Quantum Yang-Baxter Equation and Quantum Groups: An Algebraic Approach by : L.A. Lambe
Chapter 1 The algebraic prerequisites for the book are covered here and in the appendix. This chapter should be used as reference material and should be consulted as needed. A systematic treatment of algebras, coalgebras, bialgebras, Hopf algebras, and represen tations of these objects to the extent needed for the book is given. The material here not specifically cited can be found for the most part in [Sweedler, 1969] in one form or another, with a few exceptions. A great deal of emphasis is placed on the coalgebra which is the dual of n x n matrices over a field. This is the most basic example of a coalgebra for our purposes and is at the heart of most algebraic constructions described in this book. We have found pointed bialgebras useful in connection with solving the quantum Yang-Baxter equation. For this reason we develop their theory in some detail. The class of examples described in Chapter 6 in connection with the quantum double consists of pointed Hopf algebras. We note the quantized enveloping algebras described Hopf algebras. Thus for many reasons pointed bialgebras are elsewhere are pointed of fundamental interest in the study of the quantum Yang-Baxter equation and objects quantum groups.
Author |
: David E. Radford |
Publisher |
: World Scientific |
Total Pages |
: 584 |
Release |
: 2012 |
ISBN-10 |
: 9789814335997 |
ISBN-13 |
: 9814335991 |
Rating |
: 4/5 (97 Downloads) |
Synopsis Hopf Algebras by : David E. Radford
The book provides a detailed account of basic coalgebra and Hopf algebra theory with emphasis on Hopf algebras which are pointed, semisimple, quasitriangular, or are of certain other quantum groups. It is intended to be a graduate text as well as a research monograph.
Author |
: Józef H. Przytycki |
Publisher |
: Springer Nature |
Total Pages |
: 525 |
Release |
: |
ISBN-10 |
: 9783031400445 |
ISBN-13 |
: 3031400445 |
Rating |
: 4/5 (45 Downloads) |
Synopsis Lectures in Knot Theory by : Józef H. Przytycki
Author |
: S Suzuki |
Publisher |
: World Scientific |
Total Pages |
: 614 |
Release |
: 1997-04-19 |
ISBN-10 |
: 9789814546287 |
ISBN-13 |
: 9814546283 |
Rating |
: 4/5 (87 Downloads) |
Synopsis Knots '96: Proceedings Of The Fifth International Research Institute Of Mathematical Society Of Japan by : S Suzuki
This is the proceedings of an international conference on knot theory held in July 1996 at Waseda University Conference Center. It was organised by the International Research Institute of Mathematical Society of Japan. The conference was attended by nearly 180 mathematicians from Japan and 14 other countries. Most of them were specialists in knot theory. The volume contains 43 papers, which deal with significant current research in knot theory, low-dimensional topology and related topics.The volume includes papers by the following invited speakers: G Burde, R Fenn, L H Kauffman, J Levine, J M Montesinos(-A), H R Morton, K Murasugi, T Soma, and D W Sumners.