273 Then 

   273 Then 

   274 $$\bc_*(M, \pi^\infty_{\le n}(W) \simeq \CM{M}{W}.$$

   274 $$\bc_*(M, \pi^\infty_{\le n}(W) \simeq \CM{M}{W}.$$

   275 \end{property}

   275 \end{property}

   276 

   276 

   277 \begin{property}[Higher dimensional Deligne conjecture]

   277 \begin{property}[Higher dimensional Deligne conjecture]

   278 The singular chains of the $n$-dimensional fat graph operad act on blob cochains.

   279 The singular chains of the $n$-dimensional fat graph operad act on blob cochains.

   279 \end{property}

   280 \end{property}

   280 See \S \ref{sec:deligne} for an explanation of the terms appearing here, and (in a later edition of this paper) the proof.

   281 See \S \ref{sec:deligne} for an explanation of the terms appearing here, and (in a later edition of this paper) the proof.

   281 

   282 

   282 

   283