diff -r 6bcf1c3d0eb6 -r d4f22a89b227 pnas/pnas.tex --- a/pnas/pnas.tex Sun Nov 14 16:10:31 2010 -0800 +++ b/pnas/pnas.tex Sun Nov 14 16:14:37 2010 -0800 @@ -738,10 +738,8 @@ \end{rem} This result is described in more detail as Example 6.2.8 of \cite{1009.5025}. -%Fix a topological $n$-category $\cC$, which we'll now omit from notation. -%Recall that for any $(n-1)$-manifold $Y$, the blob complex $\bc_*(Y)$ is naturally an $A_\infty$ category. -The $A_\infty$ actions above allow us to state a gluing theorem. -For simplicity, we omit the $n$-category $\cC$ from the notation. +Fix a topological $n$-category $\cC$, which we'll now omit from notation. +Recall that for any $(n-1)$-manifold $Y$, the blob complex $\bc_*(Y)$ is naturally an $A_\infty$ category. \begin{thm}[Gluing formula] \label{thm:gluing} @@ -758,6 +756,9 @@ \end{itemize} \end{thm} +\begin{proof} (Sketch.) + +\end{proof} We next describe the blob complex for product manifolds, in terms of the $A_\infty$ blob complex of the $A_\infty$ $n$-categories constructed as above.