Roots of torsion polynomials and dominations

Michel Boileau; Steve Boyer; Shicheng Wang

doi:10.2140/gtm.2008.14.75

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arXiv · math/0606703

Roots of torsion polynomials and dominations

Michel Boileau·Steve Boyer·Shicheng Wang

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Abstract

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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BibTeX RIS

Michel Boileau, Steve Boyer, Shicheng Wang. 2009-04-07. Roots of torsion polynomials and dominations. https://doi.org/10.2140/gtm.2008.14.75

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