论文标题
关于克莱恩反射组和抗造影有理图的变形空间类比
On Deformation Space Analogies between Kleinian Reflection Groups and Antiholomorphic Rational Maps
论文作者
论文摘要
在上一篇论文中，我们构建了某些克莱恩反射组和黎曼球体上某些抗旋晶的理性图之间的明确动态对应关系。在本文中，我们表明它们的变形空间具有许多惊人的相似性。我们建立了瑟斯顿紧凑型定理的类似物，以固定固定的反理性图。我们还表征了变形空间如何相互相互作用并研究所有变形空间联合的单片表示。
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.
