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E-raamat: Braids: Introductory Lectures On Braids, Configurations And Their Applications

Edited by (Nus, S'pore), Edited by (Nus, S'pore & Durham Univ, Uk), Edited by (Nus, S'pore), Edited by (Hebei Normal Univ, China), Edited by (Univ Of Rochester, Usa)
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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.
Foreword vii
Preface ix
Tutorial on the Braid Groups
1(30)
Dale Rolfsen
Simplicial Objects and Homotopy Groups
31(152)
Jie Wu
Introduction to Configuration Spaces and their Applications
183(80)
Frederick R. Cohen
Configuration Spaces, Braids, and Robotics
263(42)
Robert Ghrist
Braids and Magnetic Fields
305(24)
Mitchell A. Berger
Braid Group Cryptography
329
David Garber