--- a/pnas/pnas.tex Sun Nov 14 16:02:06 2010 -0800
+++ b/pnas/pnas.tex Sun Nov 14 16:10:31 2010 -0800
@@ -738,8 +738,10 @@
\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.
+%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.
\begin{thm}[Gluing formula]
\label{thm:gluing}