Braided Groups And Braid Statistics

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Braided Groups And Braid Statistics

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Author : Shahn Majid
language : en
Publisher:
Release Date : 1991

Braided Groups And Braid Statistics written by Shahn Majid and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Mathematics categories.

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 : Mo-lin Ge
language : en
Publisher: World Scientific
Release Date : 1991-06-05

Braid Group Knot Theory And Statistical Mechanics 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 1991-06-05 with Science 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 Groups

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Author : Christian Kassel
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-06-28

Braid Groups written by Christian Kassel and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-06-28 with Mathematics categories.

In this well-written presentation, motivated by numerous examples and problems, the authors introduce the basic theory of braid groups, highlighting several definitions that show their equivalence; this is followed by a treatment of the relationship between braids, knots and links. Important results then treat the linearity and orderability of the subject. Relevant additional material is included in five large appendices. Braid Groups will serve graduate students and a number of mathematicians coming from diverse disciplines.

Braid Group Knot Theory And Statistical Mechanics

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Author : C. N. Yang
language : en
Publisher:
Release Date : 1991

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 1991 with categories.

Braid Group, Knot Theory and Statistical Mechanics.

Braids Links And Mapping Class Groups Am 82 Volume 82

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Author : Joan S. Birman
language : en
Publisher: Princeton University Press
Release Date : 2016-03-02

Braids Links And Mapping Class Groups Am 82 Volume 82 written by Joan S. Birman and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-03-02 with Mathematics categories.

The central theme of this study is Artin's braid group and the many ways that the notion of a braid has proved to be important in low-dimensional topology. In Chapter 1 the author is concerned with the concept of a braid as a group of motions of points in a manifold. She studies structural and algebraic properties of the braid groups of two manifolds, and derives systems of defining relations for the braid groups of the plane and sphere. In Chapter 2 she focuses on the connections between the classical braid group and the classical knot problem. After reviewing basic results she proceeds to an exploration of some possible implications of the Garside and Markov theorems. Chapter 3 offers discussion of matrix representations of the free group and of subgroups of the automorphism group of the free group. These ideas come to a focus in the difficult open question of whether Burau's matrix representation of the braid group is faithful. Chapter 4 is a broad view of recent results on the connections between braid groups and mapping class groups of surfaces. Chapter 5 contains a brief discussion of the theory of "plats." Research problems are included in an appendix.

Braids Links And Mapping Class Groups

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Author : Joan S. Birman
language : en
Publisher: Princeton University Press
Release Date : 1974

Braids Links And Mapping Class Groups written by Joan S. Birman and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with Crafts & Hobbies categories.

The central theme of this study is Artin's braid group and the many ways that the notion of a braid has proved to be important in low-dimensional topology. In Chapter 1 the author is concerned with the concept of a braid as a group of motions of points in a manifold. She studies structural and algebraic properties of the braid groups of two manifolds, and derives systems of defining relations for the braid groups of the plane and sphere. In Chapter 2 she focuses on the connections between the classical braid group and the classical knot problem. After reviewing basic results she proceeds to an exploration of some possible implications of the Garside and Markov theorems. Chapter 3 offers discussion of matrix representations of the free group and of subgroups of the automorphism group of the free group. These ideas come to a focus in the difficult open question of whether Burau's matrix representation of the braid group is faithful. Chapter 4 is a broad view of recent results on the connections between braid groups and mapping class groups of surfaces. Chapter 5 contains a brief discussion of the theory of "plats." Research problems are included in an appendix.

Braids And Coverings

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Author : Vagn Lundsgaard Hansen
language : en
Publisher: Cambridge University Press
Release Date : 1989-12-07

Braids And Coverings written by Vagn Lundsgaard Hansen and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989-12-07 with Mathematics categories.

Essays develop the elementary theory of Artin Braid groups geometrically and via homotopy theory, discuss the link between knot theory and the combinatorics of braid groups through Markou's Theorem and investigate polynomial covering maps.

Braids

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Author : A. Jon Berrick
language : en
Publisher: World Scientific
Release Date : 2010

Braids written by A. Jon Berrick and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Mathematics categories.

Tutorial on the braid groups / Dale Rolfsen -- Simplicial objects and homotopy groups / Jie Wu -- Introduction to configuration spaces and their applications / Frederick R. Cohen -- Configuration spaces, braids, and robotics / Robert Ghrist -- Braids and magnetic fields / Mitchell A. Berger -- Braid group cryptography / David Garber

Braids

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Author : Joan S. Birman
language : en
Publisher: American Mathematical Soc.
Release Date : 1988

Braids written by Joan S. Birman 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 1988 with Mathematics categories.

Contains the proceedings of the AMS-IMS-SIAM Joint Summer Research Conference on Artin's Braid Group, held at the University of California, Santa Cruz, in July 1986. This work is suitable for graduate students and researchers who wish to learn more about braids, as well as more experienced workers in this area.