854 \bdy A = x+y+z.

   854 \bdy A = x+y+z.

   855 \end{equation*}

   855 \end{equation*}

   856 

   856 

   857 In general, the Hochschild chain $\Tensor_{i=1}^n a_i$ is sent to the sum of $n!$ blob $(n-1)$-chains, indexed by permutations,

   857 In general, the Hochschild chain $\Tensor_{i=1}^n a_i$ is sent to the sum of $n!$ blob $(n-1)$-chains, indexed by permutations,

   858 $$\phi\left(\Tensor_{i=1}^n a_i) = \sum_{\pi} \phi^\pi(a_1, \ldots, a_n)$$

   858 $$\phi\left(\Tensor_{i=1}^n a_i) = \sum_{\pi} \phi^\pi(a_1, \ldots, a_n)$$

   860 

   860 

   861 

   861 

   862 \section{Action of $C_*(\Diff(X))$}  \label{diffsect}

   862 \section{Action of $C_*(\Diff(X))$}  \label{diffsect}

   863 

   863 

   864 Let $CD_*(X)$ denote $C_*(\Diff(X))$, the singular chain complex of

   864 Let $CD_*(X)$ denote $C_*(\Diff(X))$, the singular chain complex of