diff -r 7afa2ffbbac8 -r 45ffa363a8c8 text/deligne.tex --- 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.