# HG changeset patch # User scott@6e1638ff-ae45-0410-89bd-df963105f760 # Date 1214946616 0 # Node ID b3e7c532e98ede85b35393c7e47b397831f405e7 # Parent 7b0a43bdd3c467e29f242d58e000ce832c762d33 ... diff -r 7b0a43bdd3c4 -r b3e7c532e98e blob1.tex --- a/blob1.tex Tue Jul 01 04:00:22 2008 +0000 +++ b/blob1.tex Tue Jul 01 21:10:16 2008 +0000 @@ -984,6 +984,7 @@ \gl : A(J, c_-, c_0) \tensor A(J', c_0, c_+) \to A(J \cup J', c_-, c_+). \end{equation*} The action of diffeomorphisms, and $k$-parameter families of diffeomorphisms, ignore the boundary conditions. +\todo{we presumably need to say something about $\Id_c \in A(J, c, c)$.} The definition of a module follows closely the definition of an algebra or category. \begin{defn} @@ -1019,7 +1020,7 @@ \end{defn} Give an `algebraic' $A_\infty$ category $(A, m_k)$, we can construct a topological $A_\infty$-category, which we call $\bc_*^A$. You should -think of this at the generalisation of the blob complex, although the construction we give will \emph{not} specialise to exactly the usual definition +think of this as a generalisation of the blob complex, although the construction we give will \emph{not} specialise to exactly the usual definition in the case the $A$ is actually an associative category. \begin{defn} \end{defn} diff -r 7b0a43bdd3c4 -r b3e7c532e98e build.xml --- a/build.xml Tue Jul 01 04:00:22 2008 +0000 +++ b/build.xml Tue Jul 01 21:10:16 2008 +0000 @@ -87,7 +87,7 @@ - + diff -r 7b0a43bdd3c4 -r b3e7c532e98e preamble.tex --- a/preamble.tex Tue Jul 01 04:00:22 2008 +0000 +++ b/preamble.tex Tue Jul 01 21:10:16 2008 +0000 @@ -76,7 +76,7 @@ % Marginal notes in draft mode ----------------------------------- \newcommand{\scott}[1]{\stepcounter{comment}{{\color{blue} $\star^{(\arabic{comment})}$}}\marginpar{\color{blue} $\star^{(\arabic{comment})}$ \usefont{T1}{scott}{m}{n} #1 --S}} % draft mode -\newcommand{\ari}[1]{\stepcounter{comment}{\color{red} $\star^{(\arabic{comment})}$}\marginpar{\color{red} $\star^{(\arabic{comment})}$ #1 --A}} % draft mode +\newcommand{\kevin}[1]{\stepcounter{comment}{\color{red} $\star^{(\arabic{comment})}$}\marginpar{\color{red} $\star^{(\arabic{comment})}$ #1 --K}} % draft mode \newcommand{\comment}[1]{\stepcounter{comment}$\star^{(\arabic{comment})}$\marginpar{\tiny $\star^{(\arabic{comment})}$ #1}} % draft mode \newcounter{comment} \newcommand{\noop}[1]{}