Torsion in the homology of Milnor fibers of hyperplane arrangements

Graham Denham; Alexander Suciu

doi:10.1007/978-3-319-20155-9_7

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arXiv · 1510.01400

Torsion in the homology of Milnor fibers of hyperplane arrangements

Graham Denham·Alexander Suciu

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Abstract

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 [arXiv:1209.3414] 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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Graham Denham, Alexander Suciu. 2015-10-05. Torsion in the homology of Milnor fibers of hyperplane arrangements. https://doi.org/10.1007/978-3-319-20155-9_7

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