Homology, Homotopy and Applications
Volume 23 (2021)
The Fulton–MacPherson operad and the $W$-construction
Pages: 1 – 8
We construct an $O(n)$-equivariant isomorphism of topological operads $F_n \cong WF_n$ where $F_n$ is the Fulton–MacPherson operad and $W$ is the Boardman–Vogt construction. For $n = 2$ the isomorphism is explicit.
operad, $W$-construction, Fulton–MacPherson
2010 Mathematics Subject Classification
This work was partially supported by the EPSRC grant number EP/R014604/1 and by the MIUR Excellence Department Project MATH@TOV CUP E83C18000100006.
Received 8 August 2020
Received revised 12 September 2020
Accepted 17 September 2020
Published 24 March 2021