Examples of non-trivial roots of unity at ideal points of hyperbolic 3-manifolds
Geometric Topology
2007-05-23 v2
Abstract
This paper gives examples of hyperbolic 3-manifolds whose SL(2,C) character varieties have ideal points whose associated roots of unity are not 1 or -1. This answers a question of Cooper, Culler, Gillet, Long, and Shalen as to whether roots of unity other than 1 and -1 occur.
Keywords
Cite
@article{arxiv.math/9801064,
title = {Examples of non-trivial roots of unity at ideal points of hyperbolic 3-manifolds},
author = {Nathan M. Dunfield},
journal= {arXiv preprint arXiv:math/9801064},
year = {2007}
}
Comments
12 pages, 1 figure, LaTeX2e. Minor changes, additional remarks, new description of 2nd example. To appear in_Topology_