A cell decomposition of the Fulton MacPherson operad

Published 18 Jun 2019 in math.AT, math.GT, and math.QA | (1906.07694v3)

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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Authors (1)

Paolo Salvatore

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