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Torus Knots

  • Kunio Murasugi
Part of the Modern Birkhäuser Classics book series (MBC)

Abstract

If we take two knots (or links) at random, what we would like to have is an efficient method that will determine for us whether or not they are equivalent knots (or links). In general, sadly, such an efficient method has yet to be discovered. So, at present a concise classification of knots is not possible. The next most obvious step is to try to group together knots (or links) with a particular property or properties in common, and then try to classify them. In fact, the techniques we have already discussed are sufficient for us to extract the characteristics of certain particular types of knots.

Keywords

Solid Torus Reidemeister Move Alexander Polynomial Seifert Surface Borromean Ring 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 1996

Authors and Affiliations

  • Kunio Murasugi
    • 1
  1. 1.Department of MathematicsUniversity of TorontoTorontoCanada

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