text/ncat.tex
changeset 817 421bd394a2bd
parent 816 233afb8cdae2
child 818 fb9fc18d2a52
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  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.