equal
deleted
inserted
replaced
2776 \begin{figure}[t] |
2776 \begin{figure}[t] |
2777 $$\mathfig{.65}{tempkw/morita3}$$ |
2777 $$\mathfig{.65}{tempkw/morita3}$$ |
2778 \caption{Identities for intertwiners}\label{morita-fig-3} |
2778 \caption{Identities for intertwiners}\label{morita-fig-3} |
2779 \end{figure} |
2779 \end{figure} |
2780 Each line shows a composition of two intertwiners which we require to be equal to the identity intertwiner. |
2780 Each line shows a composition of two intertwiners which we require to be equal to the identity intertwiner. |
|
2781 The modules corresponding leftmost and rightmost disks in the figure can be identified via the obvious isotopy. |
2781 |
2782 |
2782 For general $n$, we start with an $n$-category 0-sphere module $\cM$ which is the data for the 1-dimensional |
2783 For general $n$, we start with an $n$-category 0-sphere module $\cM$ which is the data for the 1-dimensional |
2783 part of the Morita equivalence. |
2784 part of the Morita equivalence. |
2784 For $2\le k \le n$, the $k$-dimensional parts of the Morita equivalence are various decorated $k$-balls with submanifolds |
2785 For $2\le k \le n$, the $k$-dimensional parts of the Morita equivalence are various decorated $k$-balls with submanifolds |
2785 labeled by $\cC$, $\cD$ and $\cM$; no additional data is needed for these parts. |
2786 labeled by $\cC$, $\cD$ and $\cM$; no additional data is needed for these parts. |