2001/02/28 by Danny Calegari, Nathan M. Dunfield
Mathematics · #math.GT #msc:57M
published as Trans. Amer. Math. Soc. 354 (2002), 2955-2969. · 14 pages, to appear in TAMS, V2 changes: minor improvements
arxiv created 2001/08/22 · arxiv updated 2009/11/30
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.