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Hyperplane arrangements and Milnor fibrations

Domenii publicaţii > Matematica + Tipuri publicaţii > Articol în revistã ştiinţificã

Autori: A.I. Suciu

Editorial: Annales de la faculté des sciences de Toulouse, 23, p.417-481, 2014.


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. 

Cuvinte cheie: Hyperplane arrangement, Milnor fibration, boundary manifold, graph manifold, characteristic variety, resonance variety, multinet, Alexander polynomial, formality