Commensurability of 1-cusped hyperbolic 3-manifolds

Calegari, Danny; Dunfield, Nathan

doi:10.1090/S0002-9947-02-02988-4

Commensurability of 1-cusped hyperbolic 3-manifolds

Authors: Danny Calegari and Nathan M. Dunfield
Journal: Trans. Amer. Math. Soc. 354 (2002), 2955-2969
MSC (2000): Primary 57M25, 57M50
DOI: https://doi.org/10.1090/S0002-9947-02-02988-4
Published electronically: February 25, 2002
MathSciNet review: 1895211
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Abstract: 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 where every commensurable knot complement in a homology sphere has non-monic Alexander polynomial.

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