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Roots of torsion polynomials and dominations
Michel Boileau, Steve Boyer and Shicheng Wang |
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Geometry & Topology Monographs 14 (2008) 75–81 |
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arXiv: math.GT/0606703 |
Abstract |
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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 C* 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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Dedicated to the memory of Heiner Zieschang |
Keywordsnonzero degree map, torsion module, surface bundle, Sol manifold |
Mathematical Subject ClassificationPrimary: 57M27 Secondary: |
References |
PublicationReceived: 29 June 2006 |
Authors |
| Michel Boileau | |
| Institut de Mathématiques de
Toulouse, UMR 5219 Université Paul Sabatier 31062 Toulouse Cedex 9 France |
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| Steve Boyer | |
| Dépt de math UQAM PO Box 8888 Centre-ville, Montréal, Qc H3C 3P8 Canada |
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| Shicheng Wang | |
| LMAM Department of Mathematics Peking University Beijing 100871 China |
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