The Calculus Of Braids

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The Calculus Of Braids

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Author : Patrick Dehornoy
language : en
Publisher: Cambridge University Press
Release Date : 2021-09-09

The Calculus Of Braids written by Patrick Dehornoy 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 2021-09-09 with Mathematics categories.

This introduction to braid groups keeps prerequisites to a minimum, while discussing their rich mathematical properties and applications.

Knots Links Braids And 3 Manifolds

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Author : V. V. Prasolov
language : en
Publisher: American Mathematical Soc.
Release Date :

Knots Links Braids And 3 Manifolds written by V. V. Prasolov 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 with Science categories.

This book is an introduction to the remarkable work of Vaughan Jones and Victor Vassiliev on knot and link invariants and its recent modifications and generalizations, including a mathematical treatment of Jones-Witten invariants. The mathematical prerequisites are minimal compared to other monographs in this area. Numerous figures and problems make this book suitable as a graduate level course text or for self-study.

Knots 90

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Author : Akio Kawauchi
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2014-07-24

Knots 90 written by Akio Kawauchi and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-24 with Mathematics categories.

No detailed description available for "Knots 90".

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.

Logic Language Information And Computation

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Author : Alexandra Silva
language : en
Publisher: Springer Nature
Release Date : 2021-10-05

Logic Language Information And Computation written by Alexandra Silva and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-10-05 with Philosophy categories.

Edited in collaboration with FoLLI, the Association of Logic, Language and Information this book constitutes the refereed proceedings of the 27th Workshop on Logic, Language, Information and Communication, WoLLIC 2021, Virtual Event, in October 2021. The 25 full papers presented included 6 invited lectures were fully reviewed and selected from 50 submissions. The idea is to have a forum which is large enough in the number of possible interactions between logic and the sciences related to information and computation.

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.

Knots Braids And Mapping Class Groups Papers Dedicated To Joan S Birman

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Author : Jane Gilman
language : en
Publisher: American Mathematical Soc.
Release Date : 2001

Knots Braids And Mapping Class Groups Papers Dedicated To Joan S Birman written by Jane Gilman 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 2001 with Mathematics categories.

There are a number of specialties in low-dimensional topology that can find in their ``family tree'' a common ancestry in the theory of surface mappings. These include knot theory as studied through the use of braid representations, and 3-manifolds as studied through the use of Heegaard splittings. The study of the surface mapping class group (the modular group) is of course a rich subject in its own right, with relations to many different fields of mathematics and theoreticalphysics. However, its most direct and remarkable manifestation is probably in the vast area of low-dimensional topology. Although the scene of this area has been changed dramatically and experienced significant expansion since the original publication of Professor Joan Birman's seminal work,Braids, Links,and Mapping Class Groups(Princeton University Press), she brought together mathematicians whose research span many specialties, all of common lineage. The topics covered are quite diverse. Yet they reflect well the aim and spirit of the conference: to explore how these various specialties in low-dimensional topology have diverged in the past 20-25 years, as well as to explore common threads and potential future directions of development. This volume is dedicated to Joan Birman by hercolleagues with deep admiration and appreciation of her contribution to low-dimensional topology.

Braid Foliations In Low Dimensional Topology

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Author : Douglas J. LaFountain
language : en
Publisher: American Mathematical Soc.
Release Date : 2017-10-20

Braid Foliations In Low Dimensional Topology written by Douglas J. LaFountain 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 2017-10-20 with Mathematics categories.

Offers a self-contained introduction to braid foliation techniques, which is a theory developed to study knots, links and surfaces in general 3-manifolds and more specifically in contact 3-manifolds. With style and content accessible to beginning students interested in geometric topology, each chapter centres around a key theorem or theorems.

When The Lower Central Series Stops A Comprehensive Study For Braid Groups And Their Relatives

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Author : Jacques Darné
language : en
Publisher: American Mathematical Society
Release Date : 2025-05-16

When The Lower Central Series Stops A Comprehensive Study For Braid Groups And Their Relatives written by Jacques Darné and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-05-16 with Mathematics categories.

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Encyclopaedia Of Mathematics

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Author : M. Hazewinkel
language : en
Publisher: Springer
Release Date : 2013-12-01

Encyclopaedia Of Mathematics written by M. Hazewinkel and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-01 with Mathematics categories.