# HG changeset patch # User Kevin Walker # Date 1304785641 25200 # Node ID 249ccaa26fee5c9b87aebfd366ec79d56282bad3 # Parent 032d3c2b2a8980f2f5c88b4fa7d2fb4cc829fcb0 minor diff -r 032d3c2b2a89 -r 249ccaa26fee blob to-do --- 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! diff -r 032d3c2b2a89 -r 249ccaa26fee text/tqftreview.tex --- 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.