Non-sharpness of the Morton-Franks-Williams inequality

Details Non-sharpness of the Morton-Franks-Williams inequality Non-sharpness of the Morton-Franks-Williams inequality

2005-09-07

arxiv.org/abs/math/0509169v2

Mathematics

Geometric Topology

Scientific paper

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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