论文标题

分析扭转,动力学Zeta功能和可允许曲折的炸弹猜想

Analytic torsion, dynamical zeta function, and the Fried conjecture for admissible twists

论文作者

Shen, Shu

论文摘要

我们在闭合的奇数尺寸局部对称空间上显示了分析扭转和在Ruelle动力学ZETA函数的零点的绝对值之间的平等性,该空间由通过限制基础谎言组的表示获得的无环平面矢量束扭曲。这是作者对单位扁平矢量束的先前结果,以及布鲁克,穆勒和沃兹克的结果在封闭的双曲线歧管上。

We show an equality between the analytic torsion and the absolute value at the zero point of the Ruelle dynamical zeta function on a closed odd dimensional locally symmetric space twisted by an acyclic flat vector bundle obtained by the restriction of a representation of the underlying Lie group. This generalises author's previous result for unitarily flat vector bundles, and the results of Bröcker, Müller, and Wotzke on closed hyperbolic manifolds.

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