论文标题
扭曲的$ l^2 $ torsion on角色品种
Twisted $L^2$-torsion on the character variety
论文作者
论文摘要
我们在3个manifold $ m $的字符品种上定义了扭曲的$ l^2 $ torsion,并研究了一些属性。如果$ m $是有限量的夸张的情况,我们证明$ l^2 $ torsion是任何载体代表的任何举重社区的真正分析功能。
We define a twisted $L^2$-torsion on the character variety of 3-manifold $M$ and study some of its properties. In the case where $M$ is hyperbolic of finite volume, we prove that the $L^2$-torsion is a real analytic function on a neighborhood of any lift of the holonomy representation.