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单词 Morton-Franks-Williams Inequality
释义

Morton-Franks-Williams Inequality

Let be the largest and the smallest Power of in the HOMFLY Polynomial of an oriented Link,and be the Braid Index. Then the Morton-Franks-Williams Inequality holds,


(Franks and Williams 1985, Morton 1985). The inequality is sharp for all Prime Knots up to 10crossings with the exceptions of 09-042, 09-049, 10-132, 10-150, and10-156.

See also Braid Index


References

Franks, J. and Williams, R. F. ``Braids and the Jones Polynomial.'' Trans. Amer. Math. Soc. 303, 97-108, 1987.


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