Some invariants of pretzel links
Geometric Topology
2007-07-18 v1
Abstract
We show that nontrivial classical pretzel knots L(p,q,r) are hyperbolic with eight exceptions which are torus knots. We find Conway polynomials of n-pretzel links using a new computation tree. As applications, we compute the genera of n-pretzel links using these polynomials and find the basket number of pretzel links by showing that the genus and the canonical genus of a pretzel link are the same.
Keywords
Cite
@article{arxiv.0704.1432,
title = {Some invariants of pretzel links},
author = {Dongseok Kim and Jaeun Lee},
journal= {arXiv preprint arXiv:0704.1432},
year = {2007}
}