
diff -r 795ec5790b8b -r b17f1f07cba2 pnas/pnas.tex
--- a/pnas/pnas.tex	Thu Nov 18 10:52:38 2010 -0800
+++ b/pnas/pnas.tex	Thu Nov 18 10:58:46 2010 -0800
@@ -134,7 +134,9 @@
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 \begin{article}
 
-\begin{abstract} -- enter abstract text here -- \end{abstract}
+\begin{abstract}
+We explain the need for new axioms for topological quantum field theories that include ideas from derived categories and homotopy theory. We summarize our axioms for higher categories, and describe the `blob complex'. Fixing an $n$-category $\cC$, the blob complex associates a chain complex $\bc_*(W;\cC)$ to any $n$-manifold $W$. The $0$-th homology of this chain complex recovers the usual TQFT invariants of $W$. The higher homology groups should be viewed as generalizations of Hochschild homology. The blob complex has a very natural definition in terms of homotopy colimits along decompositions of the manifold $W$. We outline the important properties of the blob complex, and sketch the proof of a generalization of Deligne's conjecture on Hochschild cohomology and the little discs operad to higher dimensions.
+\end{abstract}
 
 
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