Roots of torsion polynomials and dominations

Details Roots of torsion polynomials and dominations Roots of torsion polynomials and dominations

2006-06-28

arxiv.org/abs/math/0606703v2

Geom. Topol. Monogr. 14 (2008) 75-81

Mathematics

Geometric Topology

This is the version published by Geometry & Topology Monographs on 29 April 2008

Scientific paper

10.2140/gtm.2008.14.75

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.

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