∞-operads as symmetric monoidal ∞-categories
Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
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 symmetricmonoidal functor to finite sets (with disjoint union as tensor product). The latter leads to a thirddescription of ∞-operads, as a localization of a presheaf ∞-category, and we use this to give a simpleproof of the equivalence between Lurie’s and Barwick’s models for ∞-operads.2020 Mathemati
Originalsprog | Engelsk |
---|---|
Tidsskrift | Publicacions Matematiques |
Vol/bind | 68 |
Udgave nummer | 1 |
Sider (fra-til) | 111-137 |
ISSN | 0214-1493 |
DOI | |
Status | Udgivet - 2024 |
Eksternt udgivet | Ja |
ID: 382851002