# HG changeset patch # User Kevin Walker # Date 1304727848 25200 # Node ID c7c4c0d0e2404f965e499960705406bdd5862db3 # Parent 71ab1c23df2abe022ba6732cc09d3b2cfce38655# Parent 5a2594504cac80a610c28587b43c27738698cf16 Automated merge with https://tqft.net/hg/blob/ diff -r 5a2594504cac -r c7c4c0d0e240 pnas/mapping-cylinders.pdf Binary file pnas/mapping-cylinders.pdf has changed diff -r 5a2594504cac -r c7c4c0d0e240 pnas/pnas.tex --- a/pnas/pnas.tex Fri May 06 17:23:49 2011 -0700 +++ b/pnas/pnas.tex Fri May 06 17:24:08 2011 -0700 @@ -392,7 +392,7 @@ the TQFT invariant $A(Y)$ of a closed $k$-manifold $Y$ is a linear $(n{-}k)$-category. If $Y$ has boundary then $A(Y)$ is a collection of $(n{-}k)$-categories which afford a representation of the $(n{-}k{+}1)$-category $A(\bd Y)$. -(See \cite{1009.5025} and references therein; +(See \cite{1009.5025} and \cite{kw:tqft}; for a more homotopy-theoretic point of view see \cite{0905.0465}.) We now comment on some particular values of $k$ above.