An infinity operad of normalized cacti
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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
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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