Braids and Coverings
By (author) Vagn Lundsgaard Hansen
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Braids and Coverings by Vagn Lundsgaard Hansen
Book DescriptionThis 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.
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Book DetailsISBN: 9780521384797
(228mm x 152mm x 16mm)
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 7-Dec-1989
Country of Publication: United Kingdom
Books By Author Vagn Lundsgaard Hansen
Functional Analysis, Hardback (January 2016)
This book presents basic elements of the theory of Hilbert spaces and operators on Hilbert spaces, culminating in a proof of the spectral theorem for compact, self-adjoint operators on separable Hilbert spaces.
Braids and Coverings, Paperback (December 1989)» View all books by Vagn Lundsgaard Hansen
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.
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