On the fibration of augmented link complements
Geometric Topology
2013-01-22 v2
Abstract
We study the fibration of augmented link complements. Given the diagram of an augmented link we associate a spanning surface and a graph. We then show that this surface is a fiber for the link complement if and only if the associated graph is a tree. We further show that fibration is preserved under Dehn filling on certain components of these links. This last result is then used to prove that within a very large class of links, called locally alternating augmented links, every link is fibered.
Keywords
Cite
@article{arxiv.1109.3084,
title = {On the fibration of augmented link complements},
author = {Darlan Girão},
journal= {arXiv preprint arXiv:1109.3084},
year = {2013}
}
Comments
Included referee's comments and suggestions. Some figures replaced. Proof of main theorem improved. To appear in Geometriae Dedicata