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arXiv math/0606703math.GT
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挠多项式的根与支配

Roots of torsion polynomials and dominations

Michel Boileau, Steve Boyer, Shicheng Wang

摘要:

我们证明了与给定的紧致连通可定向3-流形M的无限循环覆盖相关联的挠多项式的非零根包含在由M先验确定的复平面的紧致部分中。这个结果被用来证明当M是闭的时,它最多支配2000个Sol流形。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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