On an odd-dimensional oriented hyperbolic manifold of finite volume with strongly acyclic coefficient systems, we derive a formula relating analytic torsion with the Reidemeister torsion of the Borel–Serre compactification of the manifold. In a companion paper, this formula is used to derive exponential growth of torsion in cohomology of arithmetic groups.

中文翻译：

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具有双尖点的双曲歧管的解析扭转和Reidemeister扭转

在具有强非循环系数系统的有限体积的奇数维定向双曲流形上，我们推导出了解析扭力与流形的Borel-Serre压实的Reidemeister扭力相关的公式。在随附的论文中，该公式用于推导算术组的同调性中的指数增长。