| Title:
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BRAIDS AND COVERINGS
SELECTED TOPICS |
| By: |
Vagn Lundsgaard Hansen, J. Bruce |
| Format: |
Paperback |
| List price:
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£37.99 |
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| ISBN 10: |
0521387574 |
| ISBN 13: |
9780521387576 |
| Publisher: |
CAMBRIDGE UNIVERSITY PRESS |
| Pub. date: |
7 December, 1989 |
| Series: |
London Mathematical Society Student Texts No.18 |
| Pages: |
204 |
| Translated from: |
Danish |
| Description: |
This text develops the elementary theory of Artin Braid groups, both geometrically and via homotopy theory, and discusses the link between knot theory and combinatorics of braid groups through Markov's theorem. A detailed investigation of polynomial covering maps is also discussed. |
| Synopsis: |
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. |
| Publication: |
UK |
| Imprint: |
Cambridge University Press |
| Returns: |
Returnable |