论文标题
在超平面布置的接触基因座上
On contact loci of hyperplane arrangements
论文作者
论文摘要
我们为超平面布置的接触基因座提供了明确的表达，并表明它们的共同体环是组合不变的。我们还根据相关超平面布置的Milnor纤维来给出受限的接触基因座的表达。我们证明了与超平面布置的受限接触基因座相关的光谱序列的退化，并且猜想地计算了Milnor Monodromy的迭代层的代数共同体。我们为贝蒂数量的接触基因座数量和限制性接触基因座提供了公式。
We give an explicit expression for the contact loci of hyperplane arrangements and show that their cohomology rings are combinatorial invariants. We also give an expression for the restricted contact loci in terms of Milnor fibers of associated hyperplane arrangements. We prove the degeneracy of a spectral sequence related to the restricted contact loci of a hyperplane arrangement and which conjecturally computes algebraically the Floer cohomology of iterates of the Milnor monodromy. We give formulas for the Betti numbers of contact loci and restricted contact loci in generic cases.
