Braces and Poisson additivity

Research output: Contribution to journalArticlepeer-review

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 languageEnglish
Pages (from-to)1698-1745
Number of pages49
JournalCompositio Mathematica
Issue number8
Early online date18 Jul 2018
Publication statusPublished - 30 Aug 2018

Keywords / Materials (for Non-textual outputs)

  • 18M60 Operads (general)
  • 18N40 Homotopical algebra, Quillen model categories, derivators


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