Trace fields and commensurability of link complements

Eric Chesebro; Jason DeBlois

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arXiv · 0708.1184

Trace fields and commensurability of link complements

Eric Chesebro·Jason DeBlois

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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.

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BibTeX RIS

Eric Chesebro, Jason DeBlois. 2007-08-15. Trace fields and commensurability of link complements. https://arxiv.org/abs/0708.1184

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