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Sep 24, 2015 at 13:10 comment added Najib Idrissi In case someone wants a precise statement and proof, this is discussed at length in the book Homotopy of Operads and Grothendieck-Teichmüller Groups by Fresse, more precisely the statement is given in Proposition 6.2.2 ($\mathtt{PaB}$ is isomorphic to a suboperad of $\pi \mathtt{D}_2$). The unitary case (with nonempty arity zero) is also dealt with.
Jul 12, 2013 at 5:40 vote accept Dan Petersen
Jul 10, 2013 at 19:41 answer added Paolo Salvatore timeline score: 4
Jul 10, 2013 at 4:46 history edited Dan Petersen CC BY-SA 3.0
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Jul 9, 2013 at 21:50 comment added Dan Petersen Thanks, Theo! Did you mean his paper with Willwacher, "Equivalence of formalities of the little discs operad"? On the bottom of page 9 of their paper they give exactly the argument I give, which is encouraging.
Jul 9, 2013 at 21:08 comment added Theo Johnson-Freyd Have you looked at Severa's paper on Tamarkin's proof? I think he constructs all of these equivalences explicitly. In any case, +1 for the question.
Jul 9, 2013 at 15:02 history asked Dan Petersen CC BY-SA 3.0