Affordable Access

Publisher Website

Achirality of knots and links

Authors
Journal
Topology and its Applications
0166-8641
Publisher
Elsevier
Publication Date
Volume
119
Issue
2
Identifiers
DOI: 10.1016/s0166-8641(01)00062-1
Keywords
  • Chirality
  • Twisted Double Knots
  • Eta-Functions
Disciplines
  • Mathematics

Abstract

Abstract We will develop various methods, some are of geometric nature and some are of algebraic nature, to detect the various achiralities of knots and links in S 3. For example, we show that the twisted Whitehead double of a knot is achiral if and only if the double is the unknot or the figure eight knot, and we show that all non-trivial links with ⩽9 crossings are chiral except the Borromean rings. A simple procedure for calculating the η-function is given in terms of a crossing change formula and its initial values.

There are no comments yet on this publication. Be the first to share your thoughts.