Article contents
THE GENUS OF PERIODIC LINKS WITH RATIONAL QUOTIENTS
Published online by Cambridge University Press: 13 March 2009
Abstract
In this paper, we prove that if K is any periodic link in S3 whose quotient link is a 2-bridge link, then one half of the degree of the reduced Alexander polynomial, the minimal genus, the free genus and the canonical genus of K are all the same. We also give criteria to determine whether a given periodic link has a 2-bridge link quotient and some properties of this kind of periodic link.
MSC classification
- Type
- Research Article
- Information
- Copyright
- Copyright © Australian Mathematical Society 2009
References
- 3
- Cited by