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78 the blob complexes of $n$-balls labelled by a |
78 the blob complexes of $n$-balls labelled by a |
79 disk-like $n$-category, and the complex $\CM{-}{T}$ of maps to a fixed target space $T$. |
79 disk-like $n$-category, and the complex $\CM{-}{T}$ of maps to a fixed target space $T$. |
80 |
80 |
81 In \S \ref{ssec:spherecat} we explain how $n$-categories can be viewed as objects in an $n{+}1$-category |
81 In \S \ref{ssec:spherecat} we explain how $n$-categories can be viewed as objects in an $n{+}1$-category |
82 of sphere modules. |
82 of sphere modules. |
83 When $n=1$ this just the familiar 2-category of 1-categories, bimodules and intertwinors. |
83 When $n=1$ this just the familiar 2-category of 1-categories, bimodules and intertwiners. |
84 |
84 |
85 In \S \ref{ss:ncat_fields} we explain how to construct a system of fields from a disk-like $n$-category |
85 In \S \ref{ss:ncat_fields} we explain how to construct a system of fields from a disk-like $n$-category |
86 (using a colimit along certain decompositions of a manifold into balls). |
86 (using a colimit along certain decompositions of a manifold into balls). |
87 With this in hand, we write $\bc_*(M; \cC)$ to indicate the blob complex of a manifold $M$ |
87 With this in hand, we write $\bc_*(M; \cC)$ to indicate the blob complex of a manifold $M$ |
88 with the system of fields constructed from the $n$-category $\cC$. |
88 with the system of fields constructed from the $n$-category $\cC$. |