A survey of combinatorial aspects in the topology of complex hyperplane arrangements

Abstract

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.

More references added; this version will appear in Contemporary Math

References in corpus (4)

• The spectral sequence of an equivariant chain complex and homology with local coefficients
• On the monodromy action on Milnor fibers of graphic arrangements
• Cohomology rings and formality properties of nilpotent groups
• A new bound on the number of special fibers in a pencil of curves