An infinity operad of normalized cacti

Journal Publication ResearchOnline@JCU
Basualdo Bonatto, Luciana;Chettih, Safia;Linton, Abigail;Raynor, Sophie;Robertson, Marcy;Wahl, Nathalie
Sophie Raynor
Abstract

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.

Journal

Topology and its Applications

Publication Name

Topology and its Applications

Volume

316

ISBN/ISSN

1879-3207

Edition

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Issue

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Pages Count

54

Location

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Publisher

Elsevier

Publisher Url

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Publisher Location

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Publish Date

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Url

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Date

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EISSN

N/A

DOI

10.1016/j.topol.2022.108107