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Summary Of: Alexander polynomial

this is called an Alexander polynomial of the knot... The following procedure for computing the Alexander polynomial was given by J... The Alexander polynomial can also be computed from the... evaluates to a unit at 1 is the Alexander polynomial of a knot... the Alexander polynomial satisfies the Fox... if the Alexander polynomial of the knot is trivial... has been modified by multiplication with the Alexander polynomial of the knot... the Alexander polynomial can fail to detect some symmetries... then the Alexander polynomial of the knot is known to be... Alexander proved the Alexander polynomial satisfies a skein relation... The relationship to the standard Alexander polynomial is given by...

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mathematics | knot invariant | polynomial | J. W. Alexander | knot polynomial | John Conway | skein relation | Jones polynomial | 3-sphere | knot complement | module | principal | constant term | oriented | incidence matrix | Seifert matrix | if and only if | perfect | topologically slice | knot genus | topologically slice | 4-manifold | surgery | Seiberg-Witten invariant | knot complement | monodromy | satellite operations | satellite knot | John Conway | | knot theory | Trans. Amer. Math. Soc. | ISBN 0-8218-3678-1 | Michael H. Freedman | Frank Quinn | ISBN 0-691-08577-3 | ISBN 0-914098-16-0 | Joan Birman | Categories | Knot theory | Diagram algebras | Polynomials |
This article is licensed under the GNU Free Documentation License. It uses material from the Wikipedia article "Alexander polynomial".