Non-sharpness of the Morton-Franks-Williams inequality
classification
🧮 math.GT
keywords
inequalityexamplesmorton-franks-williamssharpapplicationsarbitrarilyconditionsdeficit
read the original 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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