Abstract
The paper computes the noncommutative A-ideal of the figure-eight knot, a noncommutative generalization of the A-polynomial. It is shown that if a knot has the same A-ideal as the figure-eight knot, then all colored Kauffman brackets are the same as those of the figure eight knot.
| Original language | English |
|---|---|
| Pages (from-to) | 785-808 |
| Number of pages | 24 |
| Journal | Journal of Knot Theory and its Ramifications |
| Volume | 13 |
| Issue number | 6 |
| DOIs | |
| State | Published - Sep 2004 |
Keywords
- A-polynomial
- Kauffman bracket
- Skein module