blob1.tex
changeset 11 aa2c7575e535
parent 10 fa1a8622e792
child 13 c70ee2ea48b6
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10:fa1a8622e792 11:aa2c7575e535
   853 \begin{equation*}
   853 \begin{equation*}
   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 $$\phi\left(\Tensor_{i=1}^n a_i\right) = \sum_{\pi} \phi^\pi(a_1, \ldots, a_n)$$
   859 with ... (hmmm, problems making this precise; you need to decide where to put the labels, but then it's hard to make an honest chain map!)
   859 with ... (hmmm, problems making this precise; you need to decide where to put the labels, but then it's hard to make an honest chain map!)
   860 
   860 
   861 
   861 
   862 \section{Action of $C_*(\Diff(X))$}  \label{diffsect}
   862 \section{Action of $C_*(\Diff(X))$}  \label{diffsect}
   863 
   863