论文标题

抛物面的准群群的变形空间的压力指标

Pressure metrics for deformation spaces of quasifuchsian groups with parabolics

论文作者

Bray, Harrison, Canary, Richard, Kao, Lien-Yung

论文摘要

在本文中,我们在统一的cof fruchsian群体的准文字变形的空间QF上产生了映射类别的组不变压力度量。我们的压力度量是由QF上的分析压力形成QF(S)的分析压力,该分析压力仅在Fuchuchsian Locus上的纯弯曲载体上是变性的。我们的技术还表明,极限集的Hausdorff维度在QF上分析上有所不同。

In this paper, we produce a mapping class group invariant pressure metric on the space QF(S) of quasiconformal deformations of a co-finite area Fuchsian group uniformizing a surface S. Our pressure metric arises from an analytic pressure form on QF(S) which is degenerate only on pure bending vectors on the Fuchsian locus. Our techniques also show that the Hausdorff dimension of the limit set varies analytically over QF(S).

扫码加入交流群

加入微信交流群

微信交流群二维码

扫码加入学术交流群,获取更多资源