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 (0.65000,4.55000) {$A:\QQ^2\to\QQ^3$};
3 \draw[fill=black!12,draw=black!40,line width=.35pt,] (0.00000,3.35000) rectangle ++(0.65000,0.65000);
4 \node[] at (0.32500,3.67500) {$1$};
5 \draw[fill=black!0,draw=black!40,line width=.35pt,] (0.65000,3.35000) rectangle ++(0.65000,0.65000);
6 \node[] at (0.97500,3.67500) {$0$};
7 \draw[fill=black!12,draw=black!40,line width=.35pt,] (0.00000,2.70000) rectangle ++(0.65000,0.65000);
8 \node[] at (0.32500,3.02500) {$2$};
9 \draw[fill=black!12,draw=black!40,line width=.35pt,] (0.65000,2.70000) rectangle ++(0.65000,0.65000);
10 \node[] at (0.97500,3.02500) {$1$};
11 \draw[fill=black!0,draw=black!40,line width=.35pt,] (0.00000,2.05000) rectangle ++(0.65000,0.65000);
12 \node[] at (0.32500,2.37500) {$0$};
13 \draw[fill=black!12,draw=black!40,line width=.35pt,] (0.65000,2.05000) rectangle ++(0.65000,0.65000);
14 \node[] at (0.97500,2.37500) {$3$};
15 \node[] at (4.32500,4.55000) {$B:\QQ^3\to\QQ^2$};
16 \draw[fill=black!12,draw=black!40,line width=.35pt,] (3.35000,3.35000) rectangle ++(0.65000,0.65000);
17 \node[] at (3.67500,3.67500) {$1$};
18 \draw[fill=black!12,draw=black!40,line width=.35pt,] (4.00000,3.35000) rectangle ++(0.65000,0.65000);
19 \node[] at (4.32500,3.67500) {$-1$};
20 \draw[fill=black!12,draw=black!40,line width=.35pt,] (4.65000,3.35000) rectangle ++(0.65000,0.65000);
21 \node[] at (4.97500,3.67500) {$2$};
22 \draw[fill=black!0,draw=black!40,line width=.35pt,] (3.35000,2.70000) rectangle ++(0.65000,0.65000);
23 \node[] at (3.67500,3.02500) {$0$};
24 \draw[fill=black!12,draw=black!40,line width=.35pt,] (4.00000,2.70000) rectangle ++(0.65000,0.65000);
25 \node[] at (4.32500,3.02500) {$1$};
26 \draw[fill=black!12,draw=black!40,line width=.35pt,] (4.65000,2.70000) rectangle ++(0.65000,0.65000);
27 \node[] at (4.97500,3.02500) {$1$};
28 \node[] at (8.15000,4.55000) {$C:\QQ^2\to\QQ$};
29 \draw[fill=black!12,draw=black!40,line width=.35pt,] (7.50000,3.35000) rectangle ++(0.65000,0.65000);
30 \node[] at (7.82500,3.67500) {$2$};
31 \draw[fill=black!12,draw=black!40,line width=.35pt,] (8.15000,3.35000) rectangle ++(0.65000,0.65000);
32 \node[] at (8.47500,3.67500) {$-1$};
33 \node[] at (11.10000,4.55000) {$CBA$};
34 \draw[fill=black!12,draw=black!40,line width=.35pt,] (10.40000,3.30000) rectangle ++(0.70000,0.70000);
35 \node[] at (10.75000,3.65000) {$-4$};
36 \draw[fill=black!12,draw=black!40,line width=.35pt,] (11.10000,3.30000) rectangle ++(0.70000,0.70000);
37 \node[] at (11.45000,3.65000) {$6$};
38 \node[font=\sffamily\footnotesize] at (1.35000,1.35000) {$(j,k)=(0,0)$};
39 \node[font=\sffamily\footnotesize] at (3.00000,1.35000) {$(0,1)$};
40 \node[font=\sffamily\footnotesize] at (4.65000,1.35000) {$(0,2)$};
41 \node[font=\sffamily\footnotesize] at (6.30000,1.35000) {$(1,0)$};
42 \node[font=\sffamily\footnotesize] at (7.95000,1.35000) {$(1,1)$};
43 \node[font=\sffamily\footnotesize] at (9.60000,1.35000) {$(1,2)$};
44 \node[anchor=east] at (-0.05000,0.57000) {$i=0$};
45 \draw[fill=black!12,draw=black!40,line width=.35pt,] (0.53000,0.30000) rectangle ++(1.65000,0.54000);
46 \node[] at (1.35500,0.57000) {$2$};
47 \draw[fill=black!12,draw=black!40,line width=.35pt,] (2.18000,0.30000) rectangle ++(1.65000,0.54000);
48 \node[] at (3.00500,0.57000) {$-4$};
49 \draw[fill=black!0,draw=black!40,line width=.35pt,] (3.83000,0.30000) rectangle ++(1.65000,0.54000);
50 \node[] at (4.65500,0.57000) {$0$};
51 \draw[fill=black!0,draw=black!40,line width=.35pt,] (5.48000,0.30000) rectangle ++(1.65000,0.54000);
52 \node[] at (6.30500,0.57000) {$0$};
53 \draw[fill=black!12,draw=black!40,line width=.35pt,] (7.13000,0.30000) rectangle ++(1.65000,0.54000);
54 \node[] at (7.95500,0.57000) {$-2$};
55 \draw[fill=black!0,draw=black!40,line width=.35pt,] (8.78000,0.30000) rectangle ++(1.65000,0.54000);
56 \node[] at (9.60500,0.57000) {$0$};
57 \node[] at (11.30000,0.57000) {$=-4$};
58 \node[anchor=east] at (-0.05000,-0.13000) {$i=1$};
59 \draw[fill=black!0,draw=black!40,line width=.35pt,] (0.53000,-0.40000) rectangle ++(1.65000,0.54000);
60 \node[] at (1.35500,-0.13000) {$0$};
61 \draw[fill=black!12,draw=black!40,line width=.35pt,] (2.18000,-0.40000) rectangle ++(1.65000,0.54000);
62 \node[] at (3.00500,-0.13000) {$-2$};
63 \draw[fill=black!12,draw=black!40,line width=.35pt,] (3.83000,-0.40000) rectangle ++(1.65000,0.54000);
64 \node[] at (4.65500,-0.13000) {$12$};
65 \draw[fill=black!0,draw=black!40,line width=.35pt,] (5.48000,-0.40000) rectangle ++(1.65000,0.54000);
66 \node[] at (6.30500,-0.13000) {$0$};
67 \draw[fill=black!12,draw=black!40,line width=.35pt,] (7.13000,-0.40000) rectangle ++(1.65000,0.54000);
68 \node[] at (7.95500,-0.13000) {$-1$};
69 \draw[fill=black!12,draw=black!40,line width=.35pt,] (8.78000,-0.40000) rectangle ++(1.65000,0.54000);
70 \node[] at (9.60500,-0.13000) {$-3$};
71 \node[] at (11.30000,-0.13000) {$=6$};
72 \end{tikzpicture}

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