Braids and Coverings

Selected Topics
Erscheinungsjahr 1990
ISBN: 978-0-521-38757-6
Verlag: Cambridge University Press

Buch, Englisch, Band 18, 210 Seiten, Format (B × H): 152 mm x 229 mm, Gewicht: 339 g

Reihe: London Mathematical Society Student Texts

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.

Autoren/Hrsg.

Hansen, Vagn Lundsgaard

Series, C. M.

Bruce, J. W.

Fachgebiete

• Mathematik | Informatik Mathematik Geometrie Algebraische Geometrie
• Mathematik | Informatik Mathematik Topologie Algebraische Topologie

Inhaltsverzeichnis

Preface; 1. Braids and configuration spaces; 2. Braids and links; 3. Polynomial covering maps; 4. Algebra and topology of Weierstrass polynomials; Appendces; Bibliography; Index.