Classification of genus two knots which admit a (1,1) decomposition
Geometric Topology
2016-03-29 v1
Abstract
We describe the genus two knots which admit a genus one, one bridge position. These are divided into several families, one consists of vertical bandings of two genus one -knots, other consists of vertical bandings of two cross cap number two 2-bridge knots, and the last one consists of genus two tunnel number one satellite knots.
Keywords
Cite
@article{arxiv.1603.08418,
title = {Classification of genus two knots which admit a (1,1) decomposition},
author = {Mario Eudave-Muñoz and Fabiola Manjarrez-Gutierrez and Enrique Ramirez-Losada},
journal= {arXiv preprint arXiv:1603.08418},
year = {2016}
}