Torsion in the Homology of Milnor Fibers of Hyperplane Arrangements
As is well-known, the homology groups of the complement of a complex hyperplane arrangement are torsion-free. Nevertheless, as we showed in a recent paper (Denham and Suciu, Proc. Lond. Math. Soc. 108(6), 1435–1470, 2014), the homology groups of the Milnor fiber of such an arrangement can have non-trivial integer torsion. We give here a brief account of the techniques that go into proving this result, outline some of its applications, and indicate some further questions that it brings to light.
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