人口普查中的纤维化和虚纤维化双曲三维流形
Fibred and Virtually Fibred hyperbolic 3-manifolds in the censuses
摘要：
在Dunfield工作的基础上，我们确定了所有未知双曲三维流形在尖点普查中的隐式状态。然后，我们在封闭的普查中找到所有纤维双曲3-流形，并使用它来找到100多个封闭和尖点虚拟纤维非纤维普查3-流形的例子，包括Weeks流形。我们还证明了在闭census和尖点census中每个3-流形的基本群的余秩为0或1。
英文摘要：
Following on from work of Dunfield, we determine the fibred status of all the unknown hyperbolic 3-manifolds in the cusped census. We then find all the fibred hyperbolic 3-manifolds in the closed census and use this to find over 100 examples each of closed and cusped virtually fibred non-fibred census 3-manifolds, including the Weeks manifold. We also show that the co-rank of the fundamental group of every 3-manifold in the cusped and in the closed census is 0 or 1.
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