Braids and Coverings

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.

המשפט הראשון: Braids are among the oldest inventions of mankind.

שנה

1989

שפה

English

הוצאה

Cambridge University Press

מהדורות

6

עמודים

210

ISBN

9780521384797

מקור הנתונים: Wikidata