一个边界判据
A boundary criterion for cubulation
摘要：
本文给出了CAT（0）立方复形上字双曲群的真余紧作用存在的边界条件。我们描述了对格和双曲3-流形群的应用。特别地，结合特殊立方复形理论、Kahn-Markovic的曲面子群结果和Agol的判别准则，我们发现每个子群可分闭双曲3-流形都是虚纤维化的.
英文摘要：
We give a criterion in terms of the boundary for the existence of a proper cocompact action of a word-hyperbolic group on a CAT(0) cube complex. We describe applications towards lattices and hyperbolic 3-manifold groups. In particular, by combining the theory of special cube complexes, the surface subgroup result of Kahn-Markovic, and Agol's criterion, we find that every subgroup separable closed hyperbolic 3-manifold is virtually fibered.
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