Abstract
We use the first coefficient of the HOMFLY polynomial to find a necessary condition for a knot to be freely periodic. In particular for p=3 we obtain a simple but powerful criterion. As an application we show that some knot cannot have a certain free period.
| Original language | English |
|---|---|
| Pages (from-to) | 535-542 |
| Number of pages | 8 |
| Journal | Topology and its Applications |
| Volume | 121 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - Jun 30 2002 |
| Externally published | Yes |
Keywords
- Freely periodic
- HOMFLY polynomial
- Knots and links
ASJC Scopus subject areas
- Geometry and Topology
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