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}