dc.contributor.author
Haugseng, R.
dc.contributor.author
Kock, J.
dc.date.accessioned
2024-05-08T13:23:46Z
dc.date.accessioned
2024-09-19T14:25:22Z
dc.date.available
2024-05-08T13:23:46Z
dc.date.available
2024-09-19T14:25:22Z
dc.date.issued
2024-01-01
dc.identifier.uri
http://hdl.handle.net/2072/537582
dc.description.abstract
We use Lurie’s symmetric monoidal envelope functor to give two new descriptions of ∞-operads: as certain symmetric monoidal ∞-categories whose underlying symmetric monoidal ∞-groupoids are free, and as certain symmetric monoidal ∞-categories equipped with a symmetric monoidal functor to finite sets (with disjoint union as tensor product). The latter leads to a third description of ∞-operads, as a localization of a presheaf ∞-category, and we use this to give a simple proof of the equivalence between Lurie’s and Barwick’s models for ∞-operads. © 2024 Universitat Autonoma de Barcelona. All rights reserved.
eng
dc.description.sponsorship
J. K. gratefully acknowledges support from grants MTM2016-80439-P (AEI/FEDER, UE) andPID2020-116481GB-I00 of Spain and 2017-SGR-1725 of Catalonia, and was also supported throughthe Severo Ochoa and Mar a de Maeztu Program for Centers and Units of Excellence in R&D grantnumber CEX2020-001084-M.
dc.format.extent
27 p.
cat
dc.publisher
Universitat Autonoma de Barcelona
cat
dc.relation.ispartof
Publicacions Matematiques
cat
dc.source
RECERCAT (Dipòsit de la Recerca de Catalunya)
dc.subject.other
Symmetric monoidal ∞-categories; ∞-operads
cat
dc.title
∞-OPERADS AS SYMMETRIC MONOIDAL ∞-CATEGORIES
cat
dc.type
info:eu-repo/semantics/article
cat
dc.type
info:eu-repo/semantics/publishedVersion
cat
dc.identifier.doi
10.5565/PUBLMAT6812406
cat
dc.rights.accessLevel
info:eu-repo/semantics/openAccess
