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arXiv · 1807.00465

On the explicit calculation of Hirzebruch-Milnor classes of hyperplane arrangements

Xia Liao·Youngho Yoon
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Abstract

The Hirzebruch-Milnor class is given by the difference between the homology Hirzebruch characteristic class and the virtual one. It is known that the Hirzebruch-Milnor class for a certain singular hypersurface can be calculated by using the Hodge spectrum of each stratum of singular locus. So far there is no explicit calculation of this invariant for any non-trivial examples, and we calculate this invariant by two different ways for low dimmensional hyperplane arrangements.

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Xia Liao, Youngho Yoon. 2018-07-02. On the explicit calculation of Hirzebruch-Milnor classes of hyperplane arrangements. https://arxiv.org/abs/1807.00465

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