English

Non-sharpness of the Morton-Franks-Williams inequality

Geometric Topology 2007-05-23 v2

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.

Keywords

Cite

@article{arxiv.math/0509169,
  title  = {Non-sharpness of the Morton-Franks-Williams inequality},
  author = {Keiko Kawamuro},
  journal= {arXiv preprint arXiv:math/0509169},
  year   = {2007}
}