Commensurability of 1-cusped hyperbolic 3-manifolds

Details Commensurability of 1-cusped hyperbolic 3-manifolds Commensurability of 1-cusped hyperbolic 3-manifolds

2001-02-03

arxiv.org/abs/math/0102024v2

Trans. Amer. Math. Soc. 354 (2002), 2955-2969.

Mathematics

Geometric Topology

14 pages, to appear in TAMS, V2 changes: minor improvements

Scientific paper

We give examples of non-fibered hyperbolic knot complements in homology
spheres that are not commensurable to fibered knot complements in homology
spheres. In fact, we give many examples of knot complements in homology spheres
with the property that every commensurable knot complement in a homology sphere
has non-monic Alexander polynomial.

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