text/tqftreview.tex
changeset 771 249ccaa26fee
parent 724 3d751b59a7d8
child 772 73fc4868c039
--- a/text/tqftreview.tex	Sat May 07 09:18:37 2011 -0700
+++ b/text/tqftreview.tex	Sat May 07 09:27:21 2011 -0700
@@ -437,13 +437,14 @@
 a $k$-category $A(Y)$ to an $n{-}k$-manifold $Y$, for $0 \le k \le n$.
 These invariants fit together via actions and gluing formulas.
 We describe only the case $k=1$ below.
+
 The construction of the $n{+}1$-dimensional part of the theory (the path integral) 
 requires that the starting data (fields and local relations) satisfy additional
 conditions.
 We do not assume these conditions here, so when we say ``TQFT" we mean a decapitated TQFT
 that lacks its $n{+}1$-dimensional part. 
 Such a ``decapitated'' TQFT is sometimes also called an $n+\epsilon$ or 
-$n+\frac{1}{2}$ dimensional TQFT, referring to the fact that it assigns maps to 
+$n+\frac{1}{2}$ dimensional TQFT, referring to the fact that it assigns maps to $n{+}1$-dimensional
 mapping cylinders between $n$-manifolds, but nothing to arbitrary $n{+}1$-manifolds.
 
 Let $Y$ be an $n{-}1$-manifold.