Abstract / Description of output
We relate the brace construction introduced by Calaque and Willwacher to an additivity functor. That is, we construct a functor from brace algebras associated to an operad O to associative algebras in the category of homotopy O-algebras. As an example, we identify the category of Pn+1-algebras with the category of associative algebras in Pn-algebras. We also show that under this identification there is an equivalence of two definitions of derived coisotropic structures in the literature.
| Original language | English |
|---|---|
| Pages (from-to) | 1698-1745 |
| Number of pages | 49 |
| Journal | Compositio Mathematica |
| Volume | 154 |
| Issue number | 8 |
| Early online date | 18 Jul 2018 |
| DOIs | |
| Publication status | Published - 30 Aug 2018 |
Keywords / Materials (for Non-textual outputs)
- 18M60 Operads (general)
- 18N40 Homotopical algebra, Quillen model categories, derivators
