The mathematical theory of knots and braids : an introduction /

This book is an introduction to the theory of knots via the theory of braids, which attempts to be complete in a number of ways. Some knowledge of Topology is assumed. Necessary Group Theory and further necessary Topology are given in the book. The exposition is intended to enable an interested read...

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Bibliographic Details
Main Author:	Moran, Siegfried
Corporate Author:	ScienceDirect (Online service)
Format:	eBook
Language:	English
Published:	Amsterdam [Netherlands] ; New York : North-Holland : Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co., 1983.
Series:	North-Holland mathematics studies ; 82.
Subjects:	Knot theory. Braid theory. Nœud, Théorie du. Théorie des tresses. Théorie des nœuds. MATHEMATICS > Topology. Braid theory Knot theory Manifolds. Noeuds, théorie des. Tresses, théorie des. Algebraic topology > Braid theory & knot theory Electronic books.
Online Access:	Connect to the full text of this electronic book

Table of Contents:

Some necessary group theory
Some necessary topology
Knots and pictures of knots
Braids and the braid group
Some connections between braids and links
The group of a link
Group rings
Derivatives
Alexander matrices
Elementary ideal of Alexander matrix
Alexander polynomial of a knot
Alexander polynomial of a link
Some matrix representations of the braid group
Operations on braids and resulting links
The group of a free endomorphism
Alexander polynomials revisited
Meridians and longitudes
Symmetry of Alexander matrices of knots
Symmetry of Alexander matrices of links
Conjugacy of group automorphisms
Plait representations of links
A list of links.