Braids and coverings : selected topics / Vagn Lundsgaard Hansen.

Format:

Book

Author/Creator:

Hansen, Vagn Lundsgaard, author.

Series:

London Mathematical Society student texts ; 18.

London Mathematical Society student texts ; 18

Language:

English

Subjects (All):

Braid theory.

Covering spaces (Topology).

Physical Description:

1 online resource (x, 191 pages) : digital, PDF file(s).

Other Title:

Braids & Coverings

Place of Publication:

Cambridge : Cambridge University Press, 1989.

Language Note:

English

Summary:

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.

Contents:

ch. 1. Braids and configuration spaces

ch. 2. Braids and links

ch. 3. Polynomial covering maps

ch. 4. Algebra and topology of weierstrass polynomials.

Notes:

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Includes bibliographical references and index.

ISBN:

1-316-08465-5

0-511-20228-8

1-107-36650-X

0-511-61309-1

1-107-36159-1

1-299-40901-6

1-107-36404-3

OCLC:

776956025