Braids and Coverings: Selected Topics

This book is based on a graduate course taught by the author at the University of Maryland, USA. The lecture notes have been revised and augmented by examples. The work falls into two strands. The first two chapters develop the elementary theory of Artin Braid groups both geometrically and via homotopy theory, and discuss the link between knot theory and the combinatorics of braid groups through Markov's Theorem. The final two chapters give a detailed investigation of polynomial covering maps, which may be viewed as a homomorphism of the fundamental group of the base space into the Artin braid group on n strings. This book will be of interest to both topologists and algebraists working in braid theory.Additional ISBNs0521384796, 0511877161, 0521387574, 9780521384797, 9780511877162, 9780521387576Braids and Coverings: Selected Topics 1st Edition is written by Vagn Lundsgaard Hansen and published by Cambridge University Press. ISBNs for Braids and Coverings are 9780511877162, 0511877161 and the print ISBNs are 9780521384797, 0521384796. Additional ISBNs include 0521384796, 0511877161, 0521387574, 9780521384797, 9780511877162, 9780521387576.