Braids: Introductory Lectures on Braids, Configurations and Their Applications

Braids: Introductory Lectures on Braids, Configurations and Their Applications

by A Jon Berrick, Fred Cohen, Elizabeth Hanbury
     
 

ISBN-10: 9814291404

ISBN-13: 9789814291408

Pub. Date: 09/28/2010

Publisher: World Scientific Publishing Company, Incorporated

This book is an indispensable guide for anyone seeking to become familiar with research in braid groups, configuration spaces and their applications. Starting at the very beginning, and assuming only basic topology and group theory, the volume's noted expositors take the reader through the fundamental theory and on to current research and applications in fields as

Overview

This book is an indispensable guide for anyone seeking to become familiar with research in braid groups, configuration spaces and their applications. Starting at the very beginning, and assuming only basic topology and group theory, the volume's noted expositors take the reader through the fundamental theory and on to current research and applications in fields as varied as astrophysics, cryptography and robotics. As leading researchers themselves, the authors write enthusiastically about their topics, with many striking illustrations. The book's chapters had their origins in tutorials given at the Summer School on Braids, at National University of Singapore's Institute for Mathematical Sciences in June 2007, for an audience of more than thirty international graduate students, and have benefited from student feedback and updating to account for current developments.

Product Details

ISBN-13:
9789814291408
Publisher:
World Scientific Publishing Company, Incorporated
Publication date:
09/28/2010
Series:
Lecture Notes Series, Institute For Mathematical Sciences, National University Of Singapore Series
Pages:
416
Product dimensions:
6.00(w) x 9.00(h) x 1.20(d)

Table of Contents

Foreword vii

Preface ix

Tutorial on the Braid Groups Dale Rolfsen 1

Simplicial Objects and Homotopy Groups Jie Wu 31

Introduction to Configuration Spaces and their Applications Frederick R. Cohen 183

Configuration Spaces, Braids, and Robotics Robert Ghrist 263

Braids and Magnetic Fields Mitchell A. Berger 305

Braid Group Cryptography David Garber 329

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