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

Published electronically:
February 25, 2002

MathSciNet review:
1895211

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Abstract | References | Similar Articles | Additional Information

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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Additional Information

**Danny Calegari**

Affiliation:
Department of Mathematics, Harvard University, Cambridge Massachusetts 02138

Email:
dannyc@math.harvard.edu

**Nathan M. Dunfield**

Affiliation:
Department of Mathematics, Harvard University, Cambridge Massachusetts 02138

Email:
nathand@math.harvard.edu

DOI:
http://dx.doi.org/10.1090/S0002-9947-02-02988-4

Keywords:
Virtual Fibration Conjecture,
commensurability,
Alexander polynomial,
character variety

Received by editor(s):
February 7, 2001

Received by editor(s) in revised form:
August 25, 2001

Published electronically:
February 25, 2002

Additional Notes:
Both authors were partially supported by the National Science Foundation.

Article copyright:
© Copyright 2002
American Mathematical Society