Panoramas et Synthèses 2002; 190 pp; softcover Number: 14 ISBN10: 285629135X ISBN13: 9782856291351 List Price: US$33 Member Price: US$26.40 Order Code: PASY/14
 In the decade since the discovery that Artin's braid groups enjoy a leftinvariant linear ordering, several quite different approaches have been applied to understand this phenomenon. This book is an account of those approaches, involving selfdistributive algebra, uniform finite trees, combinatorial group theory, mapping class groups, laminations, and hyperbolic geometry. This volume is suitable for graduate students and research mathematicians interested in algebra and topology. A publication of the Société Mathématique de France, Marseilles (SMF), distributed by the AMS in the U.S., Canada, and Mexico. Orders from other countries should be sent to the SMF. Members of the SMF receive a 30% discount from list. Readership Graduate students and research mathematicians interested in algebra and topology. Table of Contents  A linear ordering of braids
 Selfdistributivity
 Handle reduction
 Finite trees
 Automorphisms of a free group
 Curve diagrams
 Hyperbolic geometry
 Triangulations
 Biordering the pure braid groups
 Open questions
 Bibliography
 Index
 Index of notation
