• Corpus ID: 59480893

# Deformation theory of bialgebras, higher Hochschild cohomology and Formality

@article{Ginot2016DeformationTO,
title={Deformation theory of bialgebras, higher Hochschild cohomology and Formality},
author={Gr{\'e}gory Ginot and Sinan Yalin},
journal={arXiv: Algebraic Topology},
year={2016}
}
• Published 5 June 2016
• Mathematics
• 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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