论文标题
分裂同构的内核
Kernels of splitting homomorphisms
论文作者
论文摘要
Lei和Wu对第二个封闭的3个Manifold的同型组进行了描述，说明了从Heegaard分裂表面的基本组的表达组的内核上的描述。在本说明中，我们给出了此结果的几何衍生，并收集了一些关于各组之间关系以及3型脉冲和Heegaard分裂拓扑之间关系的观察。
Lei and Wu have given a description of the second homotopy group of a closed orientable 3-manifold in terms of the kernels of the epimorphisms from the fundamental group of a Heegaard splitting surface onto the fundamental groups of the two handlebody sides. In this note, we give a geometric derivation of this result and collect some observations about the relation between the various groups and the topology of the 3-manifold and the Heegaard splitting.
