Paper III: Typed Transfer, Nonlinear Packets, and Obstruction Theory

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1 \begin{tikzpicture}[x=1cm,y=1cm,>=Latex,font=\sffamily\small,line cap=round,line join=round]
2 \node[] at (0.85000,3.75000) {$\Ob$};
3 \draw[fill=black!0,draw=black!40,line width=.35pt,] (0.00000,2.35000) rectangle ++(0.85000,0.85000);
4 \node[] at (0.42500,2.77500) {$0$};
5 \draw[fill=black!12,draw=black!40,line width=.35pt,] (0.85000,2.35000) rectangle ++(0.85000,0.85000);
6 \node[] at (1.27500,2.77500) {$1$};
7 \draw[fill=black!0,draw=black!40,line width=.35pt,] (0.00000,1.50000) rectangle ++(0.85000,0.85000);
8 \node[] at (0.42500,1.92500) {$0$};
9 \draw[fill=black!0,draw=black!40,line width=.35pt,] (0.85000,1.50000) rectangle ++(0.85000,0.85000);
10 \node[] at (1.27500,1.92500) {$0$};
11 \node[] at (5.10000,3.75000) {$G$};
12 \draw[fill=black!12,draw=black!40,line width=.35pt,] (4.25000,2.35000) rectangle ++(0.85000,0.85000);
13 \node[] at (4.67500,2.77500) {$1$};
14 \draw[fill=black!0,draw=black!40,line width=.35pt,] (5.10000,2.35000) rectangle ++(0.85000,0.85000);
15 \node[] at (5.52500,2.77500) {$0$};
16 \draw[fill=black!12,draw=black!40,line width=.35pt,] (4.25000,1.50000) rectangle ++(0.85000,0.85000);
17 \node[] at (4.67500,1.92500) {$1$};
18 \draw[fill=black!12,draw=black!40,line width=.35pt,] (5.10000,1.50000) rectangle ++(0.85000,0.85000);
19 \node[] at (5.52500,1.92500) {$1$};
20 \node[] at (9.35000,3.75000) {$G\Ob G^{-1}$};
21 \draw[fill=black!12,draw=black!40,line width=.35pt,] (8.50000,2.35000) rectangle ++(0.85000,0.85000);
22 \node[] at (8.92500,2.77500) {$-1$};
23 \draw[fill=black!12,draw=black!40,line width=.35pt,] (9.35000,2.35000) rectangle ++(0.85000,0.85000);
24 \node[] at (9.77500,2.77500) {$1$};
25 \draw[fill=black!12,draw=black!40,line width=.35pt,] (8.50000,1.50000) rectangle ++(0.85000,0.85000);
26 \node[] at (8.92500,1.92500) {$-1$};
27 \draw[fill=black!12,draw=black!40,line width=.35pt,] (9.35000,1.50000) rectangle ++(0.85000,0.85000);
28 \node[] at (9.77500,1.92500) {$1$};
29 \node[] at (0.85000,0.65000) {one nonzero entry};
30 \node[] at (5.10000,0.65000) {$GP_0\ne P_0G$};
31 \node[] at (9.35000,0.65000) {four nonzero entries};
32 \node[] at (5.50000,-0.20000) {fixed axes: different packet pattern / moving axes: conjugate labeled blocks};
33 \end{tikzpicture}

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