# HG changeset patch
# User Kevin Walker <kevin@canyon23.net>
# Date 1289955355 28800
# Node ID da5077cae33ce2f701a5c3cac1e11146fa235299
# Parent  a1fa4428ddbc54c2c31a3e117c4ad704e95d04cc# Parent  e0093da0d39f7a1abc3eed209324ce1e047aa1a2
Automated merge with https://tqft.net/hg/blob

diff -r a1fa4428ddbc -r da5077cae33c pnas/pnas.tex
--- a/pnas/pnas.tex	Tue Nov 16 14:54:51 2010 -0800
+++ b/pnas/pnas.tex	Tue Nov 16 16:55:55 2010 -0800
@@ -158,6 +158,12 @@
 %% \subsection{}
 %% \subsubsection{}
 
+\dropcap{T}he aim of this paper is to describe a derived category version of TQFTs.
+
+For our purposes, an $n{+}1$-dimensional TQFT is a locally defined system of
+invariants of manifolds of dimensions 0 through $n+1$.
+
+
 \dropcap{T}opological quantum field theories (TQFTs) provide local invariants of manifolds, which are determined by the algebraic data of a higher category.
 
 An $n+1$-dimensional TQFT $\cA$ associates a vector space $\cA(M)$