论文标题

在平面图编织组的第二个同源性上

On the second homology of planar graph braid groups

论文作者

An, Byung Hee, Knudsen, Ben

论文摘要

我们表明,平面图的配置空间的第二个同源性是在嵌入,不相交联合和边缘稳定下通过三个原子图生成的:带有一个边缘的循环图,带有三个边缘的恒星图,以及带有四个边缘的theta图。我们举了一个非平面图的示例,该语句是错误的。

We show that the second homology of the configuration spaces of a planar graph is generated under the operations of embedding, disjoint union, and edge stabilization by three atomic graphs: the cycle graph with one edge, the star graph with three edges, and the theta graph with four edges. We give an example of a non-planar graph for which this statement is false.

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