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Braids and Coverings: Selected Topics: 18 (London Mathematical Society Student Texts, Series Number 18)
Cambridge University Press, 12/7/1989
EAN 9780521384797, ISBN10: 0521384796
Hardcover, 202 pages, 22.9 x 15.2 x 1.6 cm
Language: English
Originally published in English
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.
Preface
1. Braids and configuration spaces
2. Braids and links
3. Polynomial covering maps
4. Algebra and topology of Weierstrass polynomials
Appendces
Bibliography
Index.