An infinity operad of normalized cacti

Luciana Basualdo Bonatto; Safia Chettih; Abigail Linton; Sophie Raynor; Marcy Robertson; Nathalie Wahl

doi:10.1016/j.topol.2022.108107

An infinity operad of normalized cacti

Luciana Basualdo Bonatto, Safia Chettih, Abigail Linton, Sophie Raynor, Marcy Robertson^*, Nathalie Wahl

^*Corresponding author for this work

Department of Mathematical Sciences

Research output: Contribution to journal › Journal article › Research › peer-review

1 Citation (Scopus)

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.

Original language	English
Article number	108107
Journal	Topology and Its Applications
Volume	316
Pages (from-to)	1-54
ISSN	0166-8641
DOIs	https://doi.org/10.1016/j.topol.2022.108107
Publication status	Published - 2022

Bibliographical note

Publisher Copyright:
© 2022 Elsevier B.V.

Keywords

Cactus operad
Infinity operads
Operads

Access to Document

10.1016/j.topol.2022.108107

https://arxiv.org/pdf/2007.01588.pdfLicence: Unspecified

Cite this

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AU - Robertson, Marcy

AU - Wahl, Nathalie

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KW - Infinity operads

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