An infinity operad of normalized cacti
Research output: Contribution to journal › Journal article › Research › peer-review
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 |
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Article number | 108107 |
Journal | Topology and Its Applications |
Volume | 316 |
Pages (from-to) | 1-54 |
ISSN | 0166-8641 |
DOIs | |
Publication status | Published - 2022 |
Bibliographical note
Publisher Copyright:
© 2022 Elsevier B.V.
- Cactus operad, Infinity operads, Operads
Research areas
Links
- https://arxiv.org/pdf/2007.01588.pdf
Submitted manuscript
ID: 308485652