C. Kearton
Knot modules and the Nakanishi index
Kearton, C.; Wilson, S.M.J.
Authors
S.M.J. Wilson
Abstract
We examine the structure of the knot module of $9_{38}$ and show that the Nakanishi index of this knot is 2. The Nakanishi indices of $10_{69}$ and $10_{101}$ are also determined, by means of the Fox-Smythe row class. Finally, we point out that the Nakanishi index is not additive over knot composition.
Citation
Kearton, C., & Wilson, S. (2003). Knot modules and the Nakanishi index. Proceedings of the American Mathematical Society, 131(2), 655-663
Journal Article Type | Article |
---|---|
Publication Date | Jun 1, 2003 |
Deposit Date | Aug 27, 2008 |
Publicly Available Date | Aug 27, 2008 |
Journal | Proceedings of the American Mathematical Society |
Print ISSN | 0002-9939 |
Electronic ISSN | 1088-6826 |
Publisher | American Mathematical Society |
Peer Reviewed | Peer Reviewed |
Volume | 131 |
Issue | 2 |
Pages | 655-663 |
Keywords | Knot module, Nakanishi index, Fox-Smythe, Row class. |
Publisher URL | http://www.ams.org/proc/2003-131-02/S0002-9939-02-06582-6/home.html |
Files
Published Journal Article
(238 Kb)
PDF
Copyright Statement
First published in Proceedings of the American Mathematical Society, 131 (2) 2003, published by the American Mathematical Society
You might also like
S-equivalence of knots
(2004)
Journal Article
Sharp bounds on some classical knot invariants
(2003)
Journal Article
Simple non-finite knots are not prime in higher dimensions
(2003)
Journal Article
Virasoro character identities and Artin L-functions.
(1998)
Journal Article
Downloadable Citations
About Durham Research Online (DRO)
Administrator e-mail: dro.admin@durham.ac.uk
This application uses the following open-source libraries:
SheetJS Community Edition
Apache License Version 2.0 (http://www.apache.org/licenses/)
PDF.js
Apache License Version 2.0 (http://www.apache.org/licenses/)
Font Awesome
SIL OFL 1.1 (http://scripts.sil.org/OFL)
MIT License (http://opensource.org/licenses/mit-license.html)
CC BY 3.0 ( http://creativecommons.org/licenses/by/3.0/)
Powered by Worktribe © 2024
Advanced Search