论文标题
与两个抛物线发电机的抛物线生成对抛物线生成对的分类
Classification of parabolic generating pairs of Kleinian groups with two parabolic generators
论文作者
论文摘要
我们为Agol分类了由两个抛物面转换产生的非免费kleinian群体对抛物线生成对的替代证明。作为一个应用程序,我们对$ 2 $桥结组之间的表皮和透明度的表达式进行了完整的特征,并在双曲线$ 2 $桥链路的外部之间对学位的一张地图进行了完整的表征。
We give an alternative proof to Agol's classification of parabolic generating pairs of non-free Kleinian groups generated by two parabolic transformations. As an application, we give a complete characterisation of epimorphims between $2$-bridge knot groups and a complete characterisation of degree one maps between the exteriors of hyperbolic $2$-bridge links.