@article{Young:188727,
title = {Brace Bar-Cobar Duality},
author = {Young, Justin Robert},
journal = {Documenta Mathematica : Journal der deutschen Mathematiker-Vereinigung},
year = {2013},
abstract = {Using Kadeishvili's formulas with appropriate signs, we show that the classical cobar construction from coalgebras to algebras \Omega: CoAlg -> Alg can be enhanced to a functor from Hopf algebras to E_2 algebras (for a certain choice of E_2 operad) \Omega : HopfAlg -> E_2 Alg, which, unlike its classical counterpart, is not strictly adjoint, but homotopically equivalent to the left adjoint of the enhanced bar construction B: E_2 Alg -> HopfAlg studied by Gerstenhaber--Voronov and Fresse.},
url = {http://infoscience.epfl.ch/record/188727},
}