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arxiv: 1706.04664 · v1 · pith:AX6ZG4BUnew · submitted 2017-06-14 · 🧮 math.AT

Cycle index sum for non-k-equal configurations

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keywords cycleindexactioncomputeconditionconfigurationconfigurationsequal
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We compute the cycle index sum of the symmetric group action on the homology of the configuration spaces of points in a Euclidean space with the condition that no $k$ of them are equal.

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