Kleinian反射群与反全纯有理映射的形变空间相似性
On Deformation Space Analogies between Kleinian Reflection Groups and Antiholomorphic Rational Maps
摘要：
在前一篇文章中，我们构造了黎曼球面上某些Kleinian反射群与某些反全纯有理映射之间的显式动力学对应。在本文中，我们表明，他们的变形空间有许多惊人的相似之处。我们建立了一个类似的Thurston紧性定理的临界固定反理性映射。我们还刻画了变形空间如何相互作用，并研究了所有变形空间的并集的单值表示。
英文摘要：
In a previous paper, we constructed an explicit dynamical correspondence between certain Kleinian reflection groups and certain anti-holomorphic rational maps on the Riemann sphere. In this paper, we show that their deformation spaces share many striking similarities. We establish an analogue of Thurston's compactness theorem for critically fixed anti-rational maps. We also characterize how deformation spaces interact with each other and study the monodromy representations of the union of all deformation spaces.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
