diff -r 979fbe9a14e8 -r a02a6158f3bd text/deligne.tex --- a/text/deligne.tex Fri Jun 25 09:48:24 2010 -0700 +++ b/text/deligne.tex Sat Jun 26 16:31:28 2010 -0700 @@ -206,8 +206,8 @@ The main result of this section is that this chain map extends to the full singular chain complex $C_*(FG^n_{\ol{M}\ol{N}})$. -\begin{prop} -\label{prop:deligne} +\begin{thm} +\label{thm:deligne} There is a collection of chain maps \[ C_*(FG^n_{\overline{M}, \overline{N}})\otimes \hom(\bc_*(M_1), \bc_*(N_1))\otimes\cdots\otimes @@ -216,7 +216,7 @@ which satisfy the operad compatibility conditions. On $C_0(FG^n_{\ol{M}\ol{N}})$ this agrees with the chain map $p$ defined above. When $k=0$, this coincides with the $C_*(\Homeo(M_0\to N_0))$ action of Section \ref{sec:evaluation}. -\end{prop} +\end{thm} 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 $n$-FG operad acts on