Binary file RefereeReport.pdf has changed
--- a/blob_changes_v3 Wed Oct 12 15:10:54 2011 -0700
+++ b/blob_changes_v3 Wed Oct 12 17:50:00 2011 -0700
@@ -34,4 +34,5 @@
- added remark about families of collar maps acting on the blob complex
- small corrections to proof of product theorem (7.1.1)
- added remarks that various homotopy equivalences we construct are well-defined up to a contractible set of choices
+- clarified that the surgery cylinder operad action is only up to coherent homotopy
--- 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.