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}

     6 

     5 

     7 Given an $A_\infty$ $n$-category $\cC$ and an $n$-manifold $M$, we define the blob

     6 Given an $A_\infty$ $n$-category $\cC$ and an $n$-manifold $M$, we define the blob

     8 complex $\bc_*(M)$ to the be the homotopy colimit $\cC(M)$ of Section \ref{sec:ncats}.

     7 complex $\bc_*(M)$ to the be the homotopy colimit $\cC(M)$ of Section \ref{sec:ncats}.

     9 \nn{say something about this being anticlimatically tautological?}

     8 \nn{say something about this being anticlimatically tautological?}

    10 We will show below 

     9 We will show below