∞-operads as symmetric monoidal ∞-categories
Research output: Contribution to journal › Journal article › Research › peer-review
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
Original language | English |
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Journal | Publicacions Matematiques |
Volume | 68 |
Issue number | 1 |
Pages (from-to) | 111-137 |
ISSN | 0214-1493 |
DOIs | |
Publication status | Published - 2024 |
Externally published | Yes |
ID: 382851002