Wild Knots as limit sets of Kleinian Groups
Geometric Topology
2007-05-23 v1
Abstract
In this paper we study kleinian groups of Schottky type whose limit set is a wild knot in the sense of Artin and Fox. We show that, if the ``original knot'' fibers over the circle then the wild knot also fibers over the circle. As a consequence, the universal covering of is . We prove that the complement of a dynamically-defined fibered wild knot can not be a complete hyperbolic 3-manifold.
Cite
@article{arxiv.math/0509124,
title = {Wild Knots as limit sets of Kleinian Groups},
author = {Gabriela Hinojosa},
journal= {arXiv preprint arXiv:math/0509124},
year = {2007}
}
Comments
20 pages, 6 figures. To appear in Contemporary Mathematics