Non-formality of Milnor fibers of line arrangements

Abstract

The complement of a hyperplane arrangement in the complex projective space is known to be formal. We prove the global Milnor fiber associated to the homogeneous polynomial defining the arrangement may not even be 1-formal, by giving an example in dimension 2.

7 pages

References in corpus (1)

• Topology and geometry of cohomology jump loci

Cited by in corpus (6)

• Hyperplane arrangements and Milnor fibrations
• Fundamental groups, Alexander invariants, and cohomology jumping loci
• Around the tangent cone theorem
• Milnor fibrations of arrangements with trivial algebraic monodromy
• Hodge-Deligne equivariant polynomials and monodromy of hyperplane arrangements
• Highly connected non-formal Milnor fibers via polyhedral products