Deformation theory of bialgebras, higher Hochschild cohomology and Formality
Deformation theory of bialgebras, higher Hochschild cohomology and Formality
A first goal of this paper is to precisely relate the homotopy theories of bialgebras and E 2-algebras. For this, we construct a conservative and fully faithful ∞-functor from pointed conilpotent homotopy bialgebras to augmented E 2-algebras which consists in an appropriate cobar construction. Then we prove that the (derived) …