Braids and Coverings
Selected Topics
Paperback
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ISBN-13:
9780521387576
Veröffentl:
1990
Einband:
Paperback
Erscheinungsdatum:
01.01.1990
Seiten:
204
Autor:
Vagn Lundsgaard Hansen
Gewicht:
339 g
Format:
229x152x12 mm
Sprache:
Englisch
Beschreibung:
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.
Preface; 1. Braids and configuration spaces; 2. Braids and links; 3. Polynomial covering maps; 4. Algebra and topology of Weierstrass polynomials; Appendces; Bibliography; Index.
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