Hyperplane arrangements and Milnor fibrations
Hyperplane arrangements and Milnor fibrations
复制标题
超平面排列和米尔诺纤维
DOI：
10.5802/afst.1412
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发表时间：
2013
期刊：
影响因子：
--
通讯作者：
Alexander I. Suciu
中科院分区：
文献类型：
--
作者：
Alexander I. Suciu
有几个拓扑空间与复杂的超平面排列相关联：补集及其边界流形，以及Milnor纤维及其自身边界。所有这些空间都以不同的方式联系在一起，主要是通过一组互锁的纤维。我们使用排列的补集上的秩1局部系统的系数的上同调来获得关于其他三个空间的同调的信息，以及关于各种纤化的单调算子的信息。
There are several topological spaces associated to a complex hyperplane arrangement: the complement and its boundary manifold, as well as the Milnor fiber and its own boundary. All these spaces are related in various ways, primarily by a set of interlocking fibrations. We use cohomology with coefficients in rank 1 local systems on the complement of the arrangement to gain information on the homology of the other three spaces, and on the monodromy operators of the various fibrations.