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.
Original language | English (US) |
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Pages (from-to) | 2955-2969 |
Number of pages | 15 |
Journal | Transactions of the American Mathematical Society |
Volume | 354 |
Issue number | 7 |
DOIs | |
State | Published - 2002 |
Externally published | Yes |
Keywords
- Alexander polynomial
- Character variety
- Commensurability
- Virtual Fibration Conjecture
ASJC Scopus subject areas
- General Mathematics
- Applied Mathematics