Hyperplane arrangements and Milnor fibrations

By Alexander I. Suciu. 2013

55 citations recorded by the source corpus.

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.

Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/a0b47444e1f47b48002f93589920ed7ceced18f3

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In Discrete Mathematics and Combinatorics

1. Alexander I. Suciu
2. Stefan Papadima
3. P. Kronheimer
4. T. Mrowka

In Geometry and Topology

1. Alexander I. Suciu
2. Stefan Papadima

In Mathematical Physics

1. Alexander I. Suciu
2. Stefan Papadima

Citations in the corpus

• The Milnor fibration of a hyperplane arrangement: from modular resonance to algebraic monodromy (2014, background): “On the combinatorial side, multinets and their relationship with complex resonance varieties, established in [27, 43] and further developed in [50, 59] play an important role in [12, 18, 20, 52, 53], and are key to our approach.”