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1 %!TEX root = ../blob1.tex |
1 %!TEX root = ../blob1.tex |
2 |
2 |
3 \section{The blob complex for $A_\infty$ $n$-categories} |
3 \section{The blob complex for $A_\infty$ $n$-categories} |
4 \label{sec:ainfblob} |
4 \label{sec:ainfblob} |
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5 \label{sec:gluing} |
5 |
6 |
6 Given an $A_\infty$ $n$-category $\cC$ and an $n$-manifold $M$, we define the blob |
7 Given an $A_\infty$ $n$-category $\cC$ and an $n$-manifold $M$, we define the blob |
7 complex $\bc_*(M)$ to the be the colimit $\cC(M)$ of Section \ref{sec:ncats}. |
8 complex $\bc_*(M)$ to the be the colimit $\cC(M)$ of Section \ref{sec:ncats}. |
8 \nn{say something about this being anticlimatically tautological?} |
9 \nn{say something about this being anticlimatically tautological?} |
9 We will show below |
10 We will show below |