Trace fields and commensurability of link complements
Geometric Topology
2007-08-15 v2
Abstract
This paper investigates the strength of the trace field as a commensurability invariant of hyperbolic 3-manifolds. We construct an infinite family of two-component hyperbolic link complements which are pairwise incommensurable and have the same trace field, and infinitely many 1-cusped finite volume hyperbolic 3-manifolds with the same property. We also show that the two-component link complements above have integral traces, but each has a mutant with a nonintegral trace.
Cite
@article{arxiv.0708.1184,
title = {Trace fields and commensurability of link complements},
author = {Eric Chesebro and Jason DeBlois},
journal= {arXiv preprint arXiv:0708.1184},
year = {2007}
}
Comments
29 pages, 9 figures; added emails and affiliations for authors