Namespaces
Variants
Actions

Listing knot

From Encyclopedia of Mathematics
Revision as of 17:24, 7 February 2011 by 127.0.0.1 (talk) (Importing text file)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to: navigation, search

One of the simplest non-trivial knots (see Fig. and Knot theory). A Listing knot is denoted by the symbol (see Knot table) and is sometimes called a figure 8 or fourfold knot. The group of the Listing knot (cf. Knot and link groups) has the presentation , and the Alexander polynomial is . It was considered by I.B. Listing [1].

Figure: l059730a

References

[1] I.B. Listing, "Vorstudien zur Topologie" , Göttingen (1847)


Comments

References

[a1] R.H. Crowell, R.H. Fox, "Introduction to knot theory" , Ginn (1963)
[a2] L.H. Kauffman, "On knots" , Princeton Univ. Press (1987)
How to Cite This Entry:
Listing knot. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Listing_knot&oldid=18188
This article was adapted from an original article by M.Sh. Farber (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article