133 }

   133 }

   134 \caption{The main gadgets and constructions of the paper.}

   134 \caption{The main gadgets and constructions of the paper.}

   135 \label{fig:outline}

   135 \label{fig:outline}

   136 \end{figure}

   136 \end{figure}

   137 

   137 

   139 Section \S \ref{sec:deligne} gives

   139 Section \S \ref{sec:deligne} gives

   140 a higher dimensional generalization of the Deligne conjecture 

   140 a higher dimensional generalization of the Deligne conjecture 

   141 (that the little discs operad acts on Hochschild cochains) in terms of the blob complex.

   141 (that the little discs operad acts on Hochschild cochains) in terms of the blob complex.

   142 The appendices prove technical results about $\CH{M}$ and

   142 The appendices prove technical results about $\CH{M}$ and

   143 make connections between our definitions of $n$-categories and familiar definitions for $n=1$ and $n=2$, 

   143 make connections between our definitions of $n$-categories and familiar definitions for $n=1$ and $n=2$, 

   308 \end{equation*}

   308 \end{equation*}

   309 \end{thm:hochschild}

   309 \end{thm:hochschild}

   310 

   310 

   311 Proposition \ref{thm:skein-modules} is immediate from the definition, and

   311 Proposition \ref{thm:skein-modules} is immediate from the definition, and

   312 Theorem \ref{thm:hochschild} is established in \S \ref{sec:hochschild}.

   312 Theorem \ref{thm:hochschild} is established in \S \ref{sec:hochschild}.

   315 

   315 

   316 

   316 

   317 \subsection{Structure of the blob complex}

   317 \subsection{Structure of the blob complex}

   318 \label{sec:structure}

   318 \label{sec:structure}

   319 

   319