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Braids and Coverings : Selected Topics - Vagn Lundsgaard Hansen

Braids and Coverings

Selected Topics

Hardcover Published: 9th March 2011
ISBN: 9780521384797
Number Of Pages: 202

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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.

"...a good source for a one-semester topics course for graduate students with basic experience in topology...Each chapter of the book contains well-selected problems, which makes it even more valuable for work with students. To sum up, the book is a very good addition to the literature." Serge L. Tabachnikov, Mathematical Reviews

Preface
Braids and configuration spaces
Braids and links
Polynomial covering maps
Algebra and topology of Weierstrass polynomials
Appendces
Bibliography
Index
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521384797
ISBN-10: 0521384796
Series: London Mathematical Society Student Texts
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 202
Published: 9th March 2011
Publisher: Cambridge University Press
Country of Publication: GB
Dimensions (cm): 22.8 x 15.2  x 1.6
Weight (kg): 0.47