论文标题
有限体积的双曲线3个manifolds几乎由其有限商组决定
Finite-volume hyperbolic 3-manifolds are almost determined by their finite quotient groups
论文作者
论文摘要
对于任何可定向的有限体积三曲3个序列，本文证明了基本组的涂鸦同构类型唯一地决定了第一个积分共同体的同构类型，并标有瑟斯顿标准和光纤类别；此外，在有限的同构类型中，在有限生成的3个manifold组中，基本组的同构类型的同构类型。
For any orientable finite-volume hyperbolic 3-manifold, this paper proves that the profinite isomorphism type of the fundamental group uniquely determines the isomorphism type of the first integral cohomology, as marked with the Thurston norm and the fibered classes; moreover, up to finite ambiguity, the profinite isomorphism type determines the isomorphism type of the fundamental group, among the class of finitely generated 3-manifold groups.
