-
The slice-ribbon conjecture for 3-stranded pretzel knots
- American Journal of Mathematics
- Johns Hopkins University Press
- Volume 133, Number 3, June 2011
- pp. 555-580
- 10.1353/ajm.2011.0022
- Article
- Additional Information
- Purchase/rental options available:
Buy Issue for $25 at JHUP
Abstract
We determine the (smooth) concordance order of the 3-stranded pretzel
knots $P(p, q, r)$ with $p, q, r$ odd. We show that each one of finite
order is, in fact, ribbon, thereby proving the slice-ribbon conjecture for
this family of knots. As corollaries we give new proofs of results first
obtained by Fintushel-Stern and Casson-Gordon.
collapse
You are not currently authenticated.
If you would like to authenticate using a different subscribed institution or have your own login and password to Project MUSE
Authenticate
- Purchase/rental options available:
