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 (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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Acknowledgements
The author G. Denham was supported by NSERC and the author A.I. Suciu was supported in part by NSF grant DMS-1010298 and NSA grant H98230-13-1-0225.
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Denham, G., Suciu, A.I. (2015). Torsion in the Homology of Milnor Fibers of Hyperplane Arrangements. In: Benedetti, B., Delucchi, E., Moci, L. (eds) Combinatorial Methods in Topology and Algebra. Springer INdAM Series, vol 12. Springer, Cham. https://doi.org/10.1007/978-3-319-20155-9_7
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DOI: https://doi.org/10.1007/978-3-319-20155-9_7
Publisher Name: Springer, Cham
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