On the asymptotic expansion of the colored Jones polynomial for torus knots
✍ Scribed by Jérôme Dubois; Rinat Kashaev
- Publisher
- Springer
- Year
- 2007
- Tongue
- English
- Weight
- 354 KB
- Volume
- 339
- Category
- Article
- ISSN
- 0025-5831
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
Let K be an unknotting number one knot. By calculating Casson's invariant for the 2-fold branched covering of S3 branched over K, we give some relations among the Jones polynomial, the signature, and the Conway polynomial of K, and prove that some knots are of unknotting number two.
studied the expansion of the colored Jones polynomial of a knot in powers of q &1 and color. They conjectured an upper bound on the power of color versus the power of q &1. They also conjectured that the bounding line in their expansion generated the inverse Alexander Conway polynomial. These conjec