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Braids and Coverings: Selected Topics

Braids and Coverings: Selected Topics

Hardcover

Series: London Mathematical Society Student Texts, Book 18

General MathematicsGeneral ScienceGeometry

ISBN10: 0521384796
ISBN13: 9780521384797
Publisher: Cambridge University Press
Published: Dec 7 1989
Pages: 202
Weight: 1.03
Height: 0.63 Width: 6.00 Depth: 9.00
Language: English
This book is based on a graduate course taught by the author at the University of Maryland. The lecture notes have been revised and augmented by examples. 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 Markou'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.

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Geometry