Abstract
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 |
|---|---|
| Original language | French |
| Pages (from-to) | 411-414 |
| Number of pages | 4 |
| Journal | Comptes Rendus de l'Academie des Sciences - Series I: Mathematics |
| Volume | 325 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - Aug 1997 |
| Externally published | Yes |
ASJC Scopus subject areas
- General Mathematics
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