The colored Jones polynomials and the simplicial volume of a knot
β Scribed by Hitoshi Murakami; Jun Murakami
- Publisher
- Springer Netherlands
- Year
- 2001
- Tongue
- English
- Weight
- 793 KB
- Volume
- 186
- Category
- Article
- ISSN
- 0001-5962
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π SIMILAR VOLUMES
A formula for the Jones polynomial of pretzel knots and links is constructed using Kauffman's state model of the Jones polynomial. A computer program in Maple, which is given for calculations of these polynomials is also used to show that an infinite class of pretzel knots with trivial Alexander pol
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.