Bi-twist manifolds and two-bridge knots
Geometric Topology
2016-08-03 v2
Abstract
We give uniform, explicit, and simple face-pairing descriptions of all the branched cyclic covers of the 3-sphere, branched over two-bridge knots. Our method is to use the bi-twisted face-pairing constructions of Cannon, Floyd, and Parry; these examples show that the bi-twist construction is often efficient and natural. Finally, we give applications to computations of fundamental groups and homology of these branched cyclic covers.
Keywords
Cite
@article{arxiv.1306.4564,
title = {Bi-twist manifolds and two-bridge knots},
author = {J. W. Cannon and W. J. Floyd and L. Lambert and W. R. Parry and J. S. Purcell},
journal= {arXiv preprint arXiv:1306.4564},
year = {2016}
}
Comments
28 pages, 19 figures. V2 has been shortened, with exposition clarified, and referee comments addressed