The Asymptotics of the Ray-Singer Analytic Torsion of Hyperbolic 3-manifolds
The Asymptotics of the Ray-Singer Analytic Torsion of Hyperbolic 3-manifolds
复制标题
双曲3-流形的Ray-Singer解析挠率的渐近性
DOI：
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发表时间：
2010
期刊：
影响因子：
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通讯作者：
Werner Mueller
中科院分区：
文献类型：
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作者：
Werner Mueller
本文考虑与SL(2C)的标准表示的m次对称幂有关的闭双曲3-流形的解析挠率，并研究其渐近性态。渐近公式的先导系数由双曲三维流形的体积给出。由此推论，与对称幂有关的Reidemister挠率决定了闭双曲三维流形的体积。
In this paper we consider the analytic torsion of a closed hyperbolic 3-manifold associated with the mth symmetric power of the standard representation of SL(2C) and we study its asymptotic behavior as mtends to infinity. The leading coefficient of the asymptotic formula is given by the volume of the hyperbolic 3-manifold. It follows that the Reidemeister torsion associated with the symmetric powers determines the volume of a closed hyperbolic 3-manifold.
影响因子：
0.7
作者：
.Ilker S. Yuce-Ilker-S.-Yuce-102800584
通讯作者：
.Ilker S. Yuce-Ilker-S.-Yuce-102800584