diff -r 8f488e576afd -r 8aca80203f9d text/tqftreview.tex --- a/text/tqftreview.tex Sun Jul 11 14:31:56 2010 -0600 +++ b/text/tqftreview.tex Sun Jul 11 14:38:48 2010 -0600 @@ -16,17 +16,17 @@ A system of fields is very closely related to an $n$-category. In one direction, Example \ref{ex:traditional-n-categories(fields)} shows how to construct a system of fields from a (traditional) $n$-category. -We do this in detail for $n=1,2$ (Subsection \ref{sec:example:traditional-n-categories(fields)}) +We do this in detail for $n=1,2$ (\S\ref{sec:example:traditional-n-categories(fields)}) and more informally for general $n$. In the other direction, -our preferred definition of an $n$-category in Section \ref{sec:ncats} is essentially +our preferred definition of an $n$-category in \S\ref{sec:ncats} is essentially just a system of fields restricted to balls of dimensions 0 through $n$; one could call this the ``local" part of a system of fields. Since this section is intended primarily to motivate -the blob complex construction of Section \ref{sec:blob-definition}, +the blob complex construction of \S\ref{sec:blob-definition}, we suppress some technical details. -In Section \ref{sec:ncats} the analogous details are treated more carefully. +In \S\ref{sec:ncats} the analogous details are treated more carefully. \medskip @@ -71,7 +71,7 @@ \end{example} Now for the rest of the definition of system of fields. -(Readers desiring a more precise definition should refer to Subsection \ref{ss:n-cat-def} +(Readers desiring a more precise definition should refer to \S\ref{ss:n-cat-def} and replace $k$-balls with $k$-manifolds.) \begin{enumerate} \item There are boundary restriction maps $\cC_k(X) \to \cC_{k-1}(\bd X)$,