000188727 001__ 188727
000188727 005__ 20190316235713.0
000188727 022__ $$a1431-0635
000188727 037__ $$aARTICLE
000188727 245__ $$aBrace Bar-Cobar Duality
000188727 269__ $$a2013
000188727 260__ $$c2013
000188727 336__ $$aJournal Articles
000188727 520__ $$aUsing Kadeishvili's formulas with appropriate signs, we show that the classical cobar construction from coalgebras to algebras \Omega: CoAlg -> Alg can be enhanced to a functor from Hopf algebras to E_2 algebras (for a certain choice of E_2 operad) \Omega : HopfAlg -> E_2 Alg, which, unlike its classical counterpart, is not strictly adjoint, but homotopically equivalent to the left adjoint of the enhanced bar construction B: E_2 Alg -> HopfAlg studied by Gerstenhaber--Voronov and Fresse.
000188727 700__ $$0246583$$g228504$$aYoung, Justin Robert
000188727 773__ $$tDocumenta Mathematica : Journal der deutschen Mathematiker-Vereinigung
000188727 8564_ $$uhttps://infoscience.epfl.ch/record/188727/files/bbcd%20paper.pdf$$zPreprint$$s591042$$yPreprint
000188727 909C0 $$xU10968$$0252139$$pUPHESS
000188727 909CO $$qGLOBAL_SET$$pSV$$ooai:infoscience.tind.io:188727$$particle
000188727 917Z8 $$x228504
000188727 917Z8 $$x228504
000188727 917Z8 $$x105396
000188727 937__ $$aEPFL-ARTICLE-188727
000188727 973__ $$rNON-REVIEWED$$sSUBMITTED$$aEPFL
000188727 980__ $$aARTICLE