摘要翻译:
我们研究了复杂超平面排列的拓扑和组合之间的相互作用。在不要求详尽无遗的情况下,我们在这个设置中考察了基本群、关联分次李代数、高等同伦群、上同调环、秩1复系数的扭曲同调和Milnor纤维的组合方面。
---
英文标题:
《A survey of combinatorial aspects in the topology of complex hyperplane
arrangements》
---
作者:
D. A. Macinic
---
最新提交年份:
2009
---
分类信息:
一级分类:Mathematics 数学
二级分类:Combinatorics 组合学
分类描述:Discrete mathematics, graph theory, enumeration, combinatorial optimization, Ramsey theory, combinatorial game theory
离散数学,图论,计数,组合优化,拉姆齐理论,组合对策论
--
一级分类:Mathematics 数学
二级分类:Algebraic Geometry 代数几何
分类描述:Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology
代数簇,叠,束,格式,模空间,复几何,量子上同调
--
---
英文摘要:
We survey interactions between the topology and the combinatorics of complex hyperplane arrangements. Without claiming to be exhaustive, we examine in this setting combinatorial aspects of fundamental groups, associated graded Lie algebras, higher homotopy groups, cohomology rings, twisted homology with rank 1 complex coefficients, and Milnor fibers.
---
PDF链接:
https://arxiv.org/pdf/0811.2156