--- a/blob1.tex Thu Sep 23 12:34:16 2010 -0700
+++ b/blob1.tex Thu Sep 23 13:08:25 2010 -0700
@@ -16,10 +16,21 @@
\maketitle
-[revision $\ge$ 527; $\ge$ 30 August 2010]
+%[revision $\ge$ 527; $\ge$ 30 August 2010]
+%
+%{\color[rgb]{.9,.5,.2} \large \textbf{Draft version, read with caution.}}
+%We're in the midst of revising this, and hope to have a version on the arXiv soon.
-{\color[rgb]{.9,.5,.2} \large \textbf{Draft version, read with caution.}}
-We're in the midst of revising this, and hope to have a version on the arXiv soon.
+\begin{abstract}
+Given an $n$-manifold $M$ and an $n$-category $\cC$, we define a chain complex
+(the ``blob complex") $\bc_*(M; \cC)$.
+The blob complex can be thought of as a derived category version of the Hilbert space of a TQFT,
+or as a generalization of Hochschild homology to $n$-categories and $n$-manifolds.
+It enjoys a number of nice formal properties, including a higher dimensional
+generalization of Deligne's conjecture about the action of the little disks operad on Hochschild cochains.
+Along the way, we give a definition of a weak $n$-category with strong duality which
+is particularly well suited for work with TQFTs.
+\end{abstract}
\tableofcontents
--- a/text/hochschild.tex Thu Sep 23 12:34:16 2010 -0700
+++ b/text/hochschild.tex Thu Sep 23 13:08:25 2010 -0700
@@ -3,6 +3,8 @@
\section{Hochschild homology when \texorpdfstring{$n=1$}{n=1}}
\label{sec:hochschild}
+\subsection{Outline}
+
So far we have provided no evidence that blob homology is interesting in degrees
greater than zero.
In this section we analyze the blob complex in dimension $n=1$.
--- a/text/intro.tex Thu Sep 23 12:34:16 2010 -0700
+++ b/text/intro.tex Thu Sep 23 13:08:25 2010 -0700
@@ -135,7 +135,7 @@
\label{fig:outline}
\end{figure}
-Finally, later sections address other topics.
+Later sections address other topics.
Section \S \ref{sec:deligne} gives
a higher dimensional generalization of the Deligne conjecture
(that the little discs operad acts on Hochschild cochains) in terms of the blob complex.
@@ -310,8 +310,8 @@
Proposition \ref{thm:skein-modules} is immediate from the definition, and
Theorem \ref{thm:hochschild} is established in \S \ref{sec:hochschild}.
-We also note \S \ref{sec:comm_alg} which describes the blob complex when $\cC$ is a one of
-certain commutative algebras thought of as $n$-categories.
+%We also note \S \ref{sec:comm_alg} which describes the blob complex when $\cC$ is a one of
+%certain commutative algebras thought of as $n$-categories.
\subsection{Structure of the blob complex}