We use the first coefficient of the Homfly polynomial to find a necessary condition for a knot to be free periodic. In particular, for p = 3, we obtain a simple but powerful criterion. As an application, we show that some knots cannot have a certain free period.
|Translated title of the contribution||The Homfly polynomial of free periodic knots|
|Number of pages||4|
|Journal||Comptes Rendus de l'Academie des Sciences - Series I: Mathematics|
|Publication status||Published - Aug 1997|
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