A cell decomposition of the Fulton MacPherson operad
arXiv:1906.07694
Abstract
We construct a small regular cellular decomposition of the Fulton MacPherson operad 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.
57 pages, new figures added