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arXiv · 1301.1430

Milnor fibers of real line arrangements

Masahiko Yoshinaga
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Abstract

We study Milnor fibers of complexified real line arrangements. We give a new algorithm computing monodromy eigenspaces of the first cohomology. The algorithm is based on the description of minimal CW-complexes homotopic to the complements, and uses the real figure, that is, the adjacency relations of chambers. It enables us to generalize a vanishing result of Libgober, give new upper-bounds and characterize the $A_3$-arrangement in terms of non-triviality of Milnor monodromy.

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Masahiko Yoshinaga. 2013-01-08. Milnor fibers of real line arrangements. https://arxiv.org/abs/1301.1430

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