Primitive stable closed hyperbolic 3-manifolds
Primitive stable closed hyperbolic 3-manifolds
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原始稳定闭双曲3流形
DOI：
10.1016/j.topol.2014.05.003
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发表时间：
2014
期刊：
影响因子：
--
通讯作者：
C. Lecuire and K. Ohshika
中科院分区：
文献类型：
--
作者：
I. Kim;C. Lecuire and K. Ohshika
我们证明，当将具有高 Heegaard 距离和有界次表面 Heegaard 距离的闭合 3 流形视为来自对应于手柄主体的自由群的表示时，它们是原始稳定的。这意味着肖特基空间边界上的任何点都可以通过对应于闭双曲 3 流形的本原稳定表示来近似。
We show that closed 3-manifolds with high Heegaard distance and bounded subsurface Heegaard distance are primitive stable when they are regarded as representations from the free group corresponding to the handlebody. This implies that any point on the boundary of Schottky space can be approximated by primitive stable representations corresponding to closed hyperbolic 3-manifolds.