組みひも理論入門 Braids: Introductory Lectures on Braids, Configurations and Their Applications (Lecture Notes Series, Institute for Mathematical Sciences, National University of Singapore)

Berrick, A Jon (EDT)/ Cohen, Fred (EDT)/ Hanbury, Elizabeth (EDT)

World Scientific Publishing Co Pte Ltd（2009/12発売）

• 製本 Hardcover:ハードカバー版／ページ数 416 p.
• 言語 ENG
• 商品コード 9789814291408
• DDC分類 514.224

Full Description

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.

Contents

Tutorial on the Braid Groups; Simplicial Objects and Homotopy Groups; Introduction to Configuration Spaces and Their Applications; Braids and Magnetic Fields; Configuration Spaces, Braids, and Robotics; Braid Group Cryptography.