diff -r 90792b3b267b -r ead6bc1a703f blob1.tex --- a/blob1.tex Sun Nov 16 00:13:00 2008 +0000 +++ b/blob1.tex Thu Nov 20 21:08:30 2008 +0000 @@ -8,8 +8,6 @@ %%%%% excerpts from my include file of standard macros -\def\bc{{\mathcal B}} - \def\z{\mathbb{Z}} \def\r{\mathbb{R}} \def\c{\mathbb{C}} @@ -225,9 +223,8 @@ $X$ by gluing along $Y$, is the $A_\infty$ self-tensor product of $\bc_*(X)$ as an $\bc_*(Y \times I)$-bimodule. \begin{equation*} -\bc_*(X') \iso \bc_*(X) \Tensor^{A_\infty}_{\mathclap{\bc_*(Y \times I)}} +\bc_*(X') \iso \bc_*(X) \Tensor^{A_\infty}_{\mathclap{\bc_*(Y \times I)}} \!\!\!\!\!\!\xymatrix{ \ar@(ru,rd)@<-1ex>[]} \end{equation*} -\todo{How do you write self tensor product?} \end{itemize} \end{property} @@ -959,9 +956,8 @@ $X$ by gluing along $Y$, is the $A_\infty$ self-tensor product of $\bc_*(X)$ as an $\bc_*(Y \times I)$-bimodule. \begin{equation*} -\bc_*(X') \iso \bc_*(X) \Tensor^{A_\infty}_{\mathclap{\bc_*(Y \times I)}} +\bc_*(X') \iso \bc_*(X) \Tensor^{A_\infty}_{\mathclap{\bc_*(Y \times I)}} \!\!\!\!\!\!\xymatrix{ \ar@(ru,rd)@<-1ex>[]} \end{equation*} -\todo{How do you write self tensor product?} \end{itemize} Although this gluing formula is stated in terms of $A_\infty$ categories and their (bi-)modules, it will be more natural for us to give alternative