• Corpus ID: 59480893

Deformation theory of bialgebras, higher Hochschild cohomology and Formality

  title={Deformation theory of bialgebras, higher Hochschild cohomology and Formality},
  author={Gr{\'e}gory Ginot and Sinan Yalin},
  journal={arXiv: Algebraic Topology},
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) formal moduli problem of homotopy bial-gebras structures on a bialgebra is equivalent to the (derived) formal moduli problem of E 2-algebra structures on this " cobar… 

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