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arXiv · 1906.07694

A cell decomposition of the Fulton MacPherson operad

Paolo Salvatore
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Abstract

We construct a small regular cellular decomposition of the Fulton MacPherson operad $FM_2$ that is compatible with the operad composition. The cells are indexed by trees with edges of two colors and vertices labelled by cells of the cacti operad. We compute the generating functions counting the cells, that are algebraic.

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Paolo Salvatore. 2019-06-18. A cell decomposition of the Fulton MacPherson operad. https://arxiv.org/abs/1906.07694

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