Braids and Coverings
Selected Topics

Vagn Lundsgaard Hansen (Author)

9780521387576, Cambridge University Press

Paperback, published 7 December 1989

204 pages
22.8 x 15.2 x 1.7 cm, 0.32 kg

"...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

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.

Subject Areas: Combinatorics & graph theory [PBV]