Skein Relation

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High Quality Content by WIKIPEDIA articles! A central question in the mathematical theory of knots is whether two knot diagrams represent the same knot. One tool used to answer such questions is a knot polynomial which is an invariant of the knot. If two diagrams have different polynomials, they represent different knots. The reverse may not be true. Skein relations are often used to give a simple definition of knot polynomials. Informally, a skein relation gives a linear relation between the values of a knot polynomial on a collection of three links which differ from each other only in a small region. For some knot polynomials, such as the Conway, Alexander, and Jones polynomials, the relevant skein relations are sufficient to calculate the polynomial recursively. For others, such as the HOMFLYPT polynomial, more complicated algorithms are necessary.

Weitere Informationen

  • Allgemeine Informationen
    • GTIN 09786131193378
    • Editor Lambert M. Surhone, Miriam T. Timpledon, Susan F. Marseken
    • EAN 9786131193378
    • Format Fachbuch
    • Titel Skein Relation
    • Herausgeber Betascript Publishing
    • Anzahl Seiten 104
    • Genre Mathematik

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