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
Call Number:Libro Electrónico
Main Author: Moran, Siegfried
Format: Electronic eBook
Language:Inglés
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.
N�ud, Th�eorie du.
Th�eorie des tresses.
Th�eorie des n�uds.
MATHEMATICS > Topology.
Braid theory
Knot theory
Manifolds.
Noeuds, th�eorie des.
Tresses, th�eorie des.
Algebraic topology > Braid theory & knot theory
Online Access:Texto completo
Texto completo
Texto completo
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.

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