Fibered Knot - Knots That Are Not Fibered

Knots That Are Not Fibered

The Alexander polynomial of a fibered knot is monic, i.e. the coefficients of the highest and lowest powers of t are plus or minus 1. Examples of knots with nonmonic Alexander polynomials abound, for example the twist knots have Alexander polynomials qt − (2q + 1) + qt−1, where q is the number of half-twists. In particular the Stevedore's knot is not fibered.


Read more about this topic:  Fibered Knot

Famous quotes containing the word knots:

    The Chief Defect of Henry King
    Was chewing little bits of String.
    At last he swallowed some which tied
    Itself in ugly Knots inside.
    Hilaire Belloc (1870–1953)