确定奇异链环和泛阿贝尔覆盖的拼接图
Splice diagram determining singularity links and universal abelian covers
摘要：
对于有理同调球图流形，可以关联一个加权树不变量，称为拼接图。在本文中，我们证明了拼接图上的一个充分的数值条件的图流形是一个奇异链。我们还证明了，如果两个流形有相同的拼接图，那么它们的泛阿贝尔覆盖是同胚的。为了证明最后一个定理，我们必须把我们的概念推广到轨道。
英文摘要：
To a rational homology sphere graph manifold one can associate a weighted tree invariant called splice diagram. In this article we prove a sufficient numerical condition on the splice diagram for a graph manifold to be a singularity link. We also show that if two manifolds have the same splice diagram, then their universal abelian covers are homeomorphic. To prove the last theorem we have to generalize our notions to orbifolds.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
