# HG changeset patch # User Scott Morrison # Date 1312959776 25200 # Node ID d7130746cfad40b937287cfef8282313e06ae938 # Parent cc6ef2e9c3864254bc045f668f02fe80b81e98df adding some forward references about extended TQFTs, per referee diff -r cc6ef2e9c386 -r d7130746cfad RefereeReport.pdf Binary file RefereeReport.pdf has changed diff -r cc6ef2e9c386 -r d7130746cfad text/ncat.tex --- 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. diff -r cc6ef2e9c386 -r d7130746cfad text/tqftreview.tex --- 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