minor
authorKevin Walker <kevin@canyon23.net>
Sat, 07 May 2011 09:27:21 -0700
changeset 771 249ccaa26fee
parent 770 032d3c2b2a89
child 772 73fc4868c039
minor
blob to-do
text/tqftreview.tex
--- a/blob to-do	Sat May 07 09:18:37 2011 -0700
+++ b/blob to-do	Sat May 07 09:27:21 2011 -0700
@@ -15,7 +15,7 @@
 
 * Consider moving A_\infty stuff to a subsection
 
-* dimension n+1, explain the statement and refer to KW's notes
+* (?) dimension n+1, explain the statement and refer to KW's notes. [this was PT's suggestion, but it's sort of already in there.  do we need to do more?]
 
 * framings and duality -- work out what's going on!
 
--- 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.