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[circle,draw,fill=white,minimum size=7mm,inner sep=1pt,] at (0.70000,2.20000) {$0$};
3 \node[circle,draw,fill=white,minimum size=7mm,inner sep=1pt,] at (3.40000,3.75000) {$1$};
4 \node[circle,draw,fill=white,minimum size=7mm,inner sep=1pt,] at (3.40000,0.65000) {$2$};
5 \node[circle,draw,fill=white,minimum size=7mm,inner sep=1pt,] at (6.10000,2.20000) {$3$};
6 \draw[->,line width=.85pt,shorten <=4mm,shorten >=4mm,] (0.7,2.2) -- node[sloped,above,font=\sffamily\footnotesize] {$1$} (3.4,3.75);
7 \draw[->,line width=.85pt,shorten <=4mm,shorten >=4mm,] (0.7,2.2) -- node[sloped,above,font=\sffamily\footnotesize] {$1$} (3.4,0.65);
8 \draw[->,line width=.85pt,shorten <=4mm,shorten >=4mm,] (3.4,3.75) -- node[sloped,above,font=\sffamily\footnotesize] {$1$} (6.1,2.2);
9 \draw[->,line width=.85pt,shorten <=4mm,shorten >=4mm,dashed] (3.4,0.65) -- node[sloped,above,font=\sffamily\footnotesize] {$-1$} (6.1,2.2);
10 \node[] at (3.40000,4.70000) {two walks of length two};
11 \draw[black!30] (7.00000,-0.10000) -- (7.00000,4.75000);
12 \draw[fill=black!10,draw=black!40,line width=.35pt,] (8.20000,3.40000) rectangle ++(3.00000,0.65000);
13 \node[] at (9.70000,3.72500) {unsigned count: $2$};
14 \draw[fill=black!14,draw=black!40,line width=.35pt,] (8.20000,2.25000) rectangle ++(3.00000,0.65000);
15 \node[] at (9.70000,2.57500) {upper route: $+1$};
16 \draw[fill=black!14,draw=black!40,line width=.35pt,] (8.20000,1.10000) rectangle ++(3.00000,0.65000);
17 \node[] at (9.70000,1.42500) {lower route: $-1$};
18 \node[] at (9.70000,0.20000) {$(T^2)_{30}=0$};
19 \end{tikzpicture}

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