Hyperplane arrangements and Milnor fibrations

Alexander Suciu
2014 Annales de la Faculté des Sciences de Toulouse  
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.
doi:10.5802/afst.1412 fatcat:yxwoqwwwdvf5hpcmd6aj5k5bha