论文标题
与所有可能的子午必需表面的结节外观
Knot exteriors with all possible meridional essential surfaces
论文作者
论文摘要
我们显示了许多结的外观的存在，其中每个都包含任何属的子午必需表面，甚至是（甚至）边界成分的数量。也就是说，将子午线嵌入在结中的紧凑表面具有子午基本的嵌入到这些结外部中。从这些结果中，我们还证明了在某些3个manifold中存在双曲结外观，其中存在子午线的必要属的必要表面和边界成分的数量。
We show the existence of infinitely many knot exteriors where each of which contains meridional essential surfaces of any genus and (even) number of boundary components. That is, the compact surfaces that have a meridional essential embedding into a knot exterior have a meridional essential embedding into each of these knot exteriors. From these results, we also prove the existence of a hyperbolic knot exterior in some 3-manifold for which there are meridional essential surfaces of independently unbounded genus and number of boundary components.
