# HG changeset patch
# User Kevin Walker <kevin@canyon23.net>
# Date 1285272505 25200
# Node ID c393d1202724b47dc58335113709ae919437c7b4
# Parent  5fdf1488ce2008edc680eab1c06afbd5c5bb12b8
added abstract; other misc minor stuff

diff -r 5fdf1488ce20 -r c393d1202724 blob1.tex
--- 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
diff -r 5fdf1488ce20 -r c393d1202724 text/hochschild.tex
--- 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 $n=1$.
diff -r 5fdf1488ce20 -r c393d1202724 text/intro.tex
--- 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}