An infinity operad of normalized cacti
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...
| Main Authors: | , , , , , |
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| Format: | Conference item |
| Language: | English |
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Elsevier
2022
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| _version_ | 1797109286336200704 |
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| author | Basualdo Bonatto, L Chettih, S Linton, A Raynor, S Robertson, M Wahl, N |
| author_facet | Basualdo Bonatto, L Chettih, S Linton, A Raynor, S Robertson, M Wahl, N |
| author_sort | Basualdo Bonatto, L |
| collection | OXFORD |
| description | 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. |
| first_indexed | 2024-03-07T07:39:40Z |
| format | Conference item |
| id | oxford-uuid:a5b53afd-c9be-46ec-b942-5f23b6ff0644 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T07:39:40Z |
| publishDate | 2022 |
| publisher | Elsevier |
| record_format | dspace |
| spelling | oxford-uuid:a5b53afd-c9be-46ec-b942-5f23b6ff06442023-04-13T08:47:20ZAn infinity operad of normalized cactiConference itemhttp://purl.org/coar/resource_type/c_5794uuid:a5b53afd-c9be-46ec-b942-5f23b6ff0644EnglishSymplectic ElementsElsevier2022Basualdo Bonatto, LChettih, SLinton, ARaynor, SRobertson, MWahl, NWe 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. |
| spellingShingle | Basualdo Bonatto, L Chettih, S Linton, A Raynor, S Robertson, M Wahl, N An infinity operad of normalized cacti |
| title | An infinity operad of normalized cacti |
| title_full | An infinity operad of normalized cacti |
| title_fullStr | An infinity operad of normalized cacti |
| title_full_unstemmed | An infinity operad of normalized cacti |
| title_short | An infinity operad of normalized cacti |
| title_sort | infinity operad of normalized cacti |
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