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arXiv · 2105.09238

Equivariant cohomology and the super reciprocal plane of a hyperplane arrangement

Sophie Kriz
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Abstract

In this paper, we investigate certain graded-commutative rings which are related to the reciprocal plane compactification of the coordinate ring of a complement of a hyperplane arrangement. We give a presentation of these rings by generators and defining relations. This presentation was used by Holler and I. Kriz to calculate the $\mathbb{Z}$-graded coefficients of localizations of ordinary $RO((\mathbb{Z}/p)^n)$-graded equivariant cohomology at a given set of representation spheres, and also more recently by the author in a generalization to the case of an arbitrary finite group. We also give an interpretation of these rings in terms of superschemes, which can be used to further illuminate their structure.

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Sophie Kriz. 2021-05-19. Equivariant cohomology and the super reciprocal plane of a hyperplane arrangement. https://arxiv.org/abs/2105.09238

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