Braids : Introductory Lectures on Braids, Configurations and Their Applications

by Berrick, A. Jon; Cohen, Frederick R.; Hanbury, Elizabeth; Wong, Yan-Loi; Wu, Jie

• ISBN13: 9789814291408
• ISBN10: 9814291404
• Format: Hardcover
• Copyright: 2009-12-10
• Publisher: World Scientific Pub Co Inc

Summary

This book is an indispensable guide for anyone seeking to familarize themselves with research in braid groups, configuration spaces and their applications. Starting at the 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, and include many striking illustrations. The chapters have their origins in tutorials given at a Summer School on Braids, at the National University of Singapore's Institute for Mathematical Sciences in June 2007, To an audience of more than thirty international graduate students.

Table of Contents

Foreword	p. vii
Preface	p. ix
Tutorial on the Braid Groups	p. 1
Simplicial Objects and Homotopy Groups	p. 31
Introduction to Configuration Spaces and their Applications	p. 183
Configuration Spaces, Braids, and Robotics	p. 263
Braids and Magnetic Fields	p. 305
Braid Group Cryptography	p. 329
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