text/intro.tex
changeset 567 bc45b73a0371
parent 563 d2430f0a14f6
child 588 805978de8880
equal deleted inserted replaced
566:33de88ae7b62 567:bc45b73a0371
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    93 \begin{figure}[!ht]
    93 \begin{figure}[!ht]
    94 {\center
    94 {\center
    95 \beginpgfgraphicnamed{gadgets-external}%
    95 \beginpgfgraphicnamed{gadgets-external}%
    96 \begin{tikzpicture}[align=center,line width = 1.5pt]
    96 \begin{tikzpicture}[align=center,line width = 1.5pt]
    97 \newcommand{\xa}{2}
    97 \newcommand{\xxa}{2}
    98 \newcommand{\xb}{8}
    98 \newcommand{\xxb}{8}
    99 \newcommand{\ya}{14}
    99 \newcommand{\yya}{14}
   100 \newcommand{\yb}{10}
   100 \newcommand{\yyb}{10}
   101 \newcommand{\yc}{6}
   101 \newcommand{\yyc}{6}
   102 
   102 
   103 \node[box] at (-4,\yb) (tC) {$C$ \\ a `traditional' \\ weak $n$-category};
   103 \node[box] at (-4,\yyb) (tC) {$C$ \\ a `traditional' \\ weak $n$-category};
   104 \node[box] at (\xa,\ya) (C) {$\cC$ \\ a topological \\ $n$-category};
   104 \node[box] at (\xxa,\yya) (C) {$\cC$ \\ a topological \\ $n$-category};
   105 \node[box] at (\xb,\ya) (A) {$\underrightarrow{\cC}(M)$ \\ the (dual) TQFT \\ Hilbert space};
   105 \node[box] at (\xxb,\yya) (A) {$\underrightarrow{\cC}(M)$ \\ the (dual) TQFT \\ Hilbert space};
   106 \node[box] at (\xa,\yb) (FU) {$(\cF, U)$ \\ fields and\\ local relations};
   106 \node[box] at (\xxa,\yyb) (FU) {$(\cF, U)$ \\ fields and\\ local relations};
   107 \node[box] at (\xb,\yb) (BC) {$\bc_*(M; \cF)$ \\ the blob complex};
   107 \node[box] at (\xxb,\yyb) (BC) {$\bc_*(M; \cF)$ \\ the blob complex};
   108 \node[box] at (\xa,\yc) (Cs) {$\cC_*$ \\ an $A_\infty$ \\$n$-category};
   108 \node[box] at (\xxa,\yyc) (Cs) {$\cC_*$ \\ an $A_\infty$ \\$n$-category};
   109 \node[box] at (\xb,\yc) (BCs) {$\underrightarrow{\cC_*}(M)$};
   109 \node[box] at (\xxb,\yyc) (BCs) {$\underrightarrow{\cC_*}(M)$};
   110 
   110 
   111 
   111 
   112 
   112 
   113 \draw[->] (C) -- node[above] {$\displaystyle \colim_{\cell(M)} \cC$} node[below] {\S\S \ref{sec:constructing-a-tqft} \& \ref{ss:ncat_fields}} (A);
   113 \draw[->] (C) -- node[above] {$\displaystyle \colim_{\cell(M)} \cC$} node[below] {\S\S \ref{sec:constructing-a-tqft} \& \ref{ss:ncat_fields}} (A);
   114 \draw[->] (FU) -- node[below] {blob complex \\ for $M$} (BC);
   114 \draw[->] (FU) -- node[below] {blob complex \\ for $M$} (BC);