𝔖 Bobbio Scriptorium
✦   LIBER   ✦

An estimate for the unknotting numbers of torus knots

✍ Scribed by Shinji Fukuhara; Yukio Matsumoto; Osamu Saeki

Publisher
Elsevier Science
Year
1991
Tongue
English
Weight
687 KB
Volume
38
Category
Article
ISSN
0166-8641

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

The Jones polynomial of an unknotting nu
The Jones polynomial of an unknotting number one knot
✍ Yasuyuki Miyazawa πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 379 KB

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.

A Simple Proof of an Estimate for the Ap
A Simple Proof of an Estimate for the Approximation of the Euclidean Ball and the Delone Triangulation Numbers
✍ Piotr Mankiewicz; Carsten SchΓΌtt πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 125 KB

We give a simple proof of an estimate for the approximation of the Euclidean ball by a polytope with a given number of vertices with respect to the volume of the symmetric difference metric and relatively precise estimate for the Delone triangulation numbers. We also study the same problem for a giv