Classification of 3-bridge spheres of 3-bridge arborescent links
Geometric Topology
2013-02-26 v1
Abstract
In this paper, we give an isotopy classification of 3-bridge spheres of 3-bridge arborescent links, which are not Montesinos links. To this end, we prove a certain refinement of a theorem of J.S. Birman and H.M. Hilden on the relation between bridge presentations of links and Heegaard splittings of 3-manifolds. In the proof of this result, we also give an answer to a question by K. Morimoto on the classification of genus-2 Heegaard splittings of certain graph manifolds.
Keywords
Cite
@article{arxiv.1107.1112,
title = {Classification of 3-bridge spheres of 3-bridge arborescent links},
author = {Yeonhee Jang},
journal= {arXiv preprint arXiv:1107.1112},
year = {2013}
}
Comments
36 pages, 37 figures