Characterization of 3-punctured spheres in non-hyperbolic link exteriors
Geometric Topology
2018-06-01 v1
Abstract
In this paper, we characterize non-hyperbolic 3-component links in the 3-sphere whose exteriors contain essential 3-punctured spheres with non-integral boundary slopes. We also show the existence of embeddings of some multibranched surfaces in the 3-sphere which satisfy some homological conditions to be embedded in the 3-sphere.
Keywords
Cite
@article{arxiv.1805.12523,
title = {Characterization of 3-punctured spheres in non-hyperbolic link exteriors},
author = {Mario Eudave-Munoz and Makoto Ozawa},
journal= {arXiv preprint arXiv:1805.12523},
year = {2018}
}
Comments
11 pages, 7 figures