blob1.tex
changeset 54 ead6bc1a703f
parent 52 c3552b26c3b9
child 55 2625a6f51684
--- 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