On slope genera of knotted tori in 4-space
Geometric Topology
2013-02-08 v4 Group Theory
Abstract
In this note, we investigate genera for the slopes of a knotted torus in the 4-sphere analogous to the genus of a classical knot. We compare various formulations of this notion, and use this notion to study the extendable subgroup of the mapping class group of the knotted torus.
Cite
@article{arxiv.1110.1921,
title = {On slope genera of knotted tori in 4-space},
author = {Yi Liu and Yi Ni and Hongbin Sun and Shicheng Wang},
journal= {arXiv preprint arXiv:1110.1921},
year = {2013}
}
Comments
24 pages, accepted for publication by Pacific Journal of Mathematics