Braid Group Knot Theory And Statistical Mechanics
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Braid Group Knot Theory And Statistical Mechanics Ii
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Author : Chen Ning Yang
language : en
Publisher: World Scientific
Release Date : 1994
Braid Group Knot Theory And Statistical Mechanics Ii written by Chen Ning Yang and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Science categories.
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.
Braid Group Knot Theory And Statistical Mechanics
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Author : C N Yang
language : en
Publisher: World Scientific
Release Date : 1991-06-05
Braid Group Knot Theory And Statistical Mechanics written by C N Yang and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-06-05 with categories.
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.
Braid Group Knot Theory And Statistical Mechanics
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Author : C. N. Yang
language : en
Publisher:
Release Date : 1989
Braid Group Knot Theory And Statistical Mechanics written by C. N. Yang and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with categories.
New Developments In The Theory Of Knots
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Author :
language : en
Publisher:
Release Date :
New Developments In The Theory Of Knots written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
A Gentle Introduction To Knots Links And Braids
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Author : Ruben Aldrovandi
language : en
Publisher: World Scientific
Release Date : 2021-10-14
A Gentle Introduction To Knots Links And Braids written by Ruben Aldrovandi and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-10-14 with Science categories.
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.
Subfactors And Knots
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Author : Vaughan F. R. Jones
language : en
Publisher: American Mathematical Soc.
Release Date : 1991
Subfactors And Knots written by Vaughan F. R. Jones and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Mathematics categories.
This book is based on a set of lectures presented by the author at the NSF-CBMS Regional Conference, Applications of Operator Algebras to Knot Theory and Mathematical Physics, held at the U.S. Naval Academy in Annapolis in June 1988. The audience consisted of low-dimensional topologists and operator algebraists, so the speaker attempted to make the material comprehensible to both groups. He provides an extensive introduction to the theory of von Neumann algebras and to knot theory and braid groups. The presentation follows the historical development of the theory of subfactors and the ensuing applications to knot theory, including full proofs of some of the major results. The author treats in detail the Homfly and Kauffman polynomials, introduces statistical mechanical methods on knot diagrams, and attempts an analogy with conformal field theory. Written by one of the foremost mathematicians of the day, this book will give readers an appreciation of the unexpected interconnections between different parts of mathematics and physics.
Knots And Physics
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Author : Louis H. Kauffman
language : en
Publisher: World Scientific
Release Date : 2001
Knots And Physics written by Louis H. Kauffman and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Mathematics categories.
This invaluable book is an introduction to knot and link invariants as generalised amplitudes for a quasi-physical process. The demands of knot theory, coupled with a quantum-statistical framework, create a context that naturally and powerfully includes an extraordinary range of interrelated topics in topology and mathematical physics. The author takes a primarily combinatorial stance toward knot theory and its relations with these subjects. This stance has the advantage of providing direct access to the algebra and to the combinatorial topology, as well as physical ideas.
Quantum Groups Integrable Statistical Models And Knot Theory The Fifth Nankai Workshop
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Author : Mo-lin Ge
language : en
Publisher: World Scientific
Release Date : 1993-06-30
Quantum Groups Integrable Statistical Models And Knot Theory The Fifth Nankai Workshop written by Mo-lin Ge and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-06-30 with categories.
The lectures in this volume discuss topics in statistical mechanics, the geometric and algebraic approaches to q-deformation theories, two-dimensional gravity and related problems of mathematical physics, including Vassiliev invariants and the Jones polynomials, the R-matrix with Z-symmetry, reflection equations and quantum algebra, W-geometry, braid linear algebra, holomorphic q-difference systems and q-Poincaré algebra.
Integrable Systems In Quantum Field Theory And Statistical Mechanics
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Author : M. Jimbo
language : en
Publisher: Elsevier
Release Date : 2014-05-19
Integrable Systems In Quantum Field Theory And Statistical Mechanics written by M. Jimbo and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-19 with Science categories.
Integrable Sys Quantum Field Theory
Exactly Solved Models A Journey In Statistical Mechanics
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Author :
language : en
Publisher:
Release Date :
Exactly Solved Models A Journey In Statistical Mechanics written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.