论文标题
作用于弯曲对和克莱恩人的小组
Groups acting on veering pairs and Kleinian groups
论文作者
论文摘要
我们表明，一些具有不变的层压板的层流组是一个双曲线3-孔组。在途中，我们表明，从一对流动的层压板上，可以构建一个织机空间（从Schleimer-Segerman的意义上）作为商。我们的方法不假定任何3个manifold的存在，因此这是一个几何化型结果，并且取代了有关弯曲三角形，伪 - anosov流，繁琐的叶子，绷紧的叶子的一些结果。
We show that some laminar group which has an invariant veering pair of laminations is a hyperbolic 3-orbifold group. On the way, we show that from a veering pair of laminations, one can construct a loom space (in the sense of Schleimer-Segerman) as a quotient. Our approach does not assume the existence of any 3-manifold to begin with so this is a geometrization-type result, and supersedes some of the results regarding the relation among veering triangulations, pseudo-Anosov flows, taut foliations in the literature.
