论文标题
$ l^2 $ torsion用于双曲线晶格的表示
The $L^2$-torsion for representations of hyperbolic lattices
论文作者
论文摘要
我们证明了与奇数有限体积双曲线歧管相关的分析和拓扑$ l^2 $ torsion的平等性以及扩展到环境谎言组的基本组的表示。这概括了由于Lück和Schick引起的先前结果。另外，该结果可以被视为Müller和Rochon最近作品的$ l^2 $ ANALOGUE。
We prove equality of analytic and topological $L^2$-torsion associated with an odd-dimensional finite volume hyperbolic manifold and a representation of the fundamental group which extends to the ambient Lie group. This generalizes a previous result due to Lück and Schick. Alternatively, this result can be regarded as the $L^2$-analogue of recent work by Müller and Rochon.
