adding some forward references about extended TQFTs, per referee
authorScott Morrison <scott@tqft.net>
Wed, 10 Aug 2011 00:02:56 -0700
changeset 867 d7130746cfad
parent 866 cc6ef2e9c386
child 868 0bebc467f65a
adding some forward references about extended TQFTs, per referee
RefereeReport.pdf
text/ncat.tex
text/tqftreview.tex
Binary file RefereeReport.pdf has changed
--- a/text/ncat.tex	Tue Aug 09 23:57:01 2011 -0700
+++ b/text/ncat.tex	Wed Aug 10 00:02:56 2011 -0700
@@ -1584,7 +1584,7 @@
 %define $k$-cat $\cC(\cdot\times W)$}
 
 \subsection{Modules}
-
+\label{sec:modules}
 Next we define ordinary and $A_\infty$ disk-like $n$-category modules.
 The definition will be very similar to that of disk-like $n$-categories,
 but with $k$-balls replaced by {\it marked $k$-balls,} defined below.
--- a/text/tqftreview.tex	Tue Aug 09 23:57:01 2011 -0700
+++ b/text/tqftreview.tex	Wed Aug 10 00:02:56 2011 -0700
@@ -449,7 +449,7 @@
 The above construction can be extended to higher codimensions, assigning
 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.
+We describe only the case $k=1$ below. We describe these extensions in the more general setting of the blob complex later, in particular in Examples \ref{ex:ncats-from-tqfts} and \ref{ex:blob-complexes-of-balls} and  in \S \ref{sec:modules}.
 
 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