On the Falk Invariant of Signed Graphic Arrangements
On the Falk Invariant of Signed Graphic Arrangements
复制标题
论带符号图形排列的 Falk 不变量
DOI：
10.1007/s00373-018-1887-7
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发表时间：
2017
影响因子：
0.7
通讯作者：
Michele Torielli
中科院分区：
文献类型：
--
作者：
Weili Guo;Michele Torielli
复向量空间中超平面排列的补的基本群是一个重要的拓扑不变量。第三级的连续的连续性在较低的中心系列的基本组被称为福尔克不变量的安排，因为福尔克给了第一个公式，并要求给予组合的解释。本文给出了不含aas子排列的符号图排列的Falk不变量的一个组合公式。
The fundamental group of the complement of a hyperplane arrangement in a complex vector space is an important topological invariant. The third rank of successive quotients in the lower central series of the fundamental group was calledFalk invariantof the arrangement since Falk gave the first formula and asked to give a combinatorial interpretation. In this article, we give a combinatorial formula for the Falk invariant of a signed graphic arrangement that do not have aas sub-arrangement.