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 \draw[->,black!55] (0.20000,0.40000) -- (3.10000,0.40000);
3 \draw[->,black!55] (0.40000,0.25000) -- (0.40000,2.05000);
4 \draw[dashed,black!55] (0.40000,0.40000) -- (1.60000,0.40000) -- (1.60000,1.60000) -- (0.40000,1.60000) -- cycle;
5 \draw[fill=black!10,line width=1pt] (0.40000,0.40000) -- (1.60000,0.40000) -- (2.80000,1.60000) -- (1.60000,1.60000) -- cycle;
6 \draw[->,line width=1.4pt] (0.40000,0.40000) -- (1.60000,1.60000);
7 \node[font=\sffamily\bfseries] at (1.60000,2.55000) {$H$};
8 \node[anchor=west] at (1.72000,1.82000) {$(1,1)$};
9 \draw[->,black!55] (6.50000,0.40000) -- (10.60000,0.40000);
10 \draw[->,black!55] (6.70000,0.25000) -- (6.70000,2.05000);
11 \draw[dashed,black!55] (6.70000,0.40000) -- (7.90000,0.40000) -- (7.90000,1.60000) -- (6.70000,1.60000) -- cycle;
12 \draw[fill=black!10,line width=1pt] (6.70000,0.40000) -- (7.90000,0.40000) -- (10.30000,1.60000) -- (9.10000,1.60000) -- cycle;
13 \draw[->,line width=1.4pt] (6.70000,0.40000) -- (9.10000,1.60000);
14 \node[font=\sffamily\bfseries] at (8.50000,2.55000) {$DHD^{-1},\quad D=\operatorname{diag}(2,1)$};
15 \node[anchor=west] at (9.22000,1.82000) {$(2,1)$};
16 \node[] at (2.20000,-0.30000) {$\|H-I\|_F^2=1$};
17 \node[] at (8.70000,-0.30000) {$\|D(H-I)D^{-1}\|_F^2=4$};
18 \draw[black!25] (5.65000,-0.60000) -- (5.65000,3.65000);
19 \end{tikzpicture}

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