An infinity operad of normalized cacti

We endow the normalized cacti with the structure of an ∞-operad by showing that its existing composition laws are associative up to all higher homotopies. The higher homotopies are encoded by a new topological operad of bracketed trees which we relate both to an enrichment of the dendroidal category...

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Bibliographic Details
Main Authors: Basualdo Bonatto, L, Chettih, S, Linton, A, Raynor, S, Robertson, M, Wahl, N
Format: Conference item
Language:English
Published: Elsevier 2022
Description
Summary:We endow the normalized cacti with the structure of an ∞-operad by showing that its existing composition laws are associative up to all higher homotopies. The higher homotopies are encoded by a new topological operad of bracketed trees which we relate both to an enrichment of the dendroidal category Ω and to the Boardman-Vogt W-construction on the operad of operads.