dc.contributor.author
Gepner, D.
dc.contributor.author
Haugseng, R.
dc.contributor.author
Kock, J.
dc.date.accessioned
2023-09-14T13:23:13Z
dc.date.accessioned
2024-09-19T14:35:19Z
dc.date.available
2023-09-14T13:23:13Z
dc.date.available
2024-09-19T14:35:19Z
dc.date.issued
2021-04-26
dc.identifier.uri
http://hdl.handle.net/2072/536898
dc.description.abstract
We develop an ∞ -categorical version of the classical theory of polynomial and analytic functors, initial algebras, and free monads. Using this machinery, we provide a new model for ∞ -operads, namely ∞ -operads as analytic monads. We justify this definition by proving that the ∞ -category of analytic monads is equivalent to that of dendroidal Segal spaces, known to be equivalent to the other existing models for ∞ -operads. © 2021 The Author(s). Published by Oxford University Press. All rights reserved.
eng
dc.description.sponsorship
National Science Foundation, NSF: DMS-1406529, DMS-1714273
dc.format.extent
69 p.
cat
dc.publisher
Oxford University Press
cat
dc.relation.ispartof
International Mathematics Research Notices
cat
dc.source
RECERCAT (Dipòsit de la Recerca de Catalunya)
dc.subject.other
theory of polynomial and analytic functors, ∞-operads
cat
dc.title
∞-Operads as Analytic Monads
cat
dc.type
info:eu-repo/semantics/article
cat
dc.type
info:eu-repo/semantics/submittedVersion
cat
dc.identifier.doi
10.1093/imrn/rnaa332
cat
dc.rights.accessLevel
info:eu-repo/semantics/openAccess
