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arXiv · 1612.02773

Cohomology of Polychromatic Configuration Spaces of Euclidean Space

Nicholas Kosar
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Abstract

Recently, the homology and cohomology of non-k-overlapping discs, or, equivalently, no k-equal subspaces of Euclidean space, were calculated by Dobrinskaya and Turchin. We calculate the homology and cohomology of two classes of more general spaces: decreasing polychromatic configuration spaces and bicolored configuration spaces. Instead of all points behaving similarly, we allow for varying behavior between points.

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Nicholas Kosar. 2016-12-08. Cohomology of Polychromatic Configuration Spaces of Euclidean Space. https://arxiv.org/abs/1612.02773

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