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
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by Danny Calegari and Nathan M. Dunfield PDF

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

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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