Roots of torsion polynomials and dominations
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We show that the nonzero roots of the torsion polynomials associated to the infinite cyclic covers of a given compact, connected, orientable 3-manifold M are contained in a compact part of the complex plane a priori determined by M. This result is applied to prove that when M is closed, it dominates at most finitely many Sol manifolds.
This is the version published by Geometry & Topology Monographs on 29 April 2008
This is the version published by Geometry & Topology Monographs on 29 April 2008