--- a/text/deligne.tex	Wed Oct 12 15:10:54 2011 -0700
+++ b/text/deligne.tex	Wed Oct 12 17:50:00 2011 -0700
@@ -210,6 +210,9 @@
 When $k=0$, this coincides with the $C_*(\Homeo(M_0\to N_0))$ action of \S\ref{sec:evaluation}.
 \end{thm}
 
+The ``up to coherent homotopy" in the statement is due to the fact that the isomorphisms of 
+\ref{lem:bc-btc} and \ref{thm:gluing} are only defined to up to a contractible set of homotopies.
+
 If, in analogy to Hochschild cochains, we define elements of $\hom(M, N)$
 to be ``blob cochains", we can summarize the above proposition by saying that the $n$-SC operad acts on
 blob cochains.