An infinity operad of normalized cacti

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Standard

An infinity operad of normalized cacti. / Basualdo Bonatto, Luciana; Chettih, Safia; Linton, Abigail; Raynor, Sophie; Robertson, Marcy; Wahl, Nathalie.

I: Topology and Its Applications, Bind 316, 108107, 2022, s. 1-54.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Basualdo Bonatto, L, Chettih, S, Linton, A, Raynor, S, Robertson, M & Wahl, N 2022, 'An infinity operad of normalized cacti', Topology and Its Applications, bind 316, 108107, s. 1-54. https://doi.org/10.1016/j.topol.2022.108107

APA

Basualdo Bonatto, L., Chettih, S., Linton, A., Raynor, S., Robertson, M., & Wahl, N. (2022). An infinity operad of normalized cacti. Topology and Its Applications, 316, 1-54. [108107]. https://doi.org/10.1016/j.topol.2022.108107

Vancouver

Basualdo Bonatto L, Chettih S, Linton A, Raynor S, Robertson M, Wahl N. An infinity operad of normalized cacti. Topology and Its Applications. 2022;316:1-54. 108107. https://doi.org/10.1016/j.topol.2022.108107

Author

Basualdo Bonatto, Luciana ; Chettih, Safia ; Linton, Abigail ; Raynor, Sophie ; Robertson, Marcy ; Wahl, Nathalie. / An infinity operad of normalized cacti. I: Topology and Its Applications. 2022 ; Bind 316. s. 1-54.

Bibtex

@article{f9bc2c5a24db44658fc14eed58f888f4,
title = "An infinity operad of normalized cacti",
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.",
keywords = "Cactus operad, Infinity operads, Operads",
author = "{Basualdo Bonatto}, Luciana and Safia Chettih and Abigail Linton and Sophie Raynor and Marcy Robertson and Nathalie Wahl",
note = "Publisher Copyright: {\textcopyright} 2022 Elsevier B.V.",
year = "2022",
doi = "10.1016/j.topol.2022.108107",
language = "English",
volume = "316",
pages = "1--54",
journal = "Topology and its Applications",
issn = "0166-8641",
publisher = "Elsevier",

}

RIS

TY - JOUR

T1 - An infinity operad of normalized cacti

AU - Basualdo Bonatto, Luciana

AU - Chettih, Safia

AU - Linton, Abigail

AU - Raynor, Sophie

AU - Robertson, Marcy

AU - Wahl, Nathalie

N1 - Publisher Copyright: © 2022 Elsevier B.V.

PY - 2022

Y1 - 2022

N2 - 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.

AB - 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.

KW - Cactus operad

KW - Infinity operads

KW - Operads

UR - http://www.scopus.com/inward/record.url?scp=85130048258&partnerID=8YFLogxK

U2 - 10.1016/j.topol.2022.108107

DO - 10.1016/j.topol.2022.108107

M3 - Journal article

AN - SCOPUS:85130048258

VL - 316

SP - 1

EP - 54

JO - Topology and its Applications

JF - Topology and its Applications

SN - 0166-8641

M1 - 108107

ER -

ID: 308485652