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Non-sharpness of the Morton-Franks-Williams inequality
Preprint
2005-09-07
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Abstract
We give conditions on a knot on which the Morton-Franks-Williams inequality is not sharp. As applications, we show infinitely many examples of knots where the inequality is not sharp and also prove (by giving examples) that the deficit of the inequality can be arbitrarily large.
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Most cited references5
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Braids and the Jones polynomial
John Franks, R F Williams (1987)
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Studying links via closed braids IV: composite links and split links
Joan Birman, William W. Menasco (1990)