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

Download original file

This is the original TeX manuscript source. Use the paper’s PDF for typeset equations.

Read the typeset paper

1 \begin{tikzpicture}[x=1cm,y=1cm,>=Latex,font=\sffamily\small,line cap=round,line join=round]
2 \node[font=\sffamily\bfseries\footnotesize,align=center] at (2.00000,3.70000) {EDGE\\ACTION};
3 \node[font=\sffamily\bfseries\footnotesize,align=center] at (6.50000,3.70000) {EXACT\\COORDINATES};
4 \node[font=\sffamily\bfseries\footnotesize,align=center] at (11.00000,3.70000) {CHOSEN\\CONNECTION};
5 \draw[fill=black!0,draw=black!40,line width=.35pt,] (0.80000,2.15000) rectangle ++(0.70000,0.70000);
6 \node[] at (1.15000,2.50000) {$0$};
7 \draw[fill=black!0,draw=black!40,line width=.35pt,] (1.50000,2.15000) rectangle ++(0.70000,0.70000);
8 \node[] at (1.85000,2.50000) {$0$};
9 \draw[fill=black!0,draw=black!40,line width=.35pt,] (2.20000,2.15000) rectangle ++(0.70000,0.70000);
10 \node[] at (2.55000,2.50000) {$0$};
11 \draw[fill=black!12,draw=black!40,line width=.35pt,] (0.80000,1.45000) rectangle ++(0.70000,0.70000);
12 \node[] at (1.15000,1.80000) {$2$};
13 \draw[fill=black!0,draw=black!40,line width=.35pt,] (1.50000,1.45000) rectangle ++(0.70000,0.70000);
14 \node[] at (1.85000,1.80000) {$0$};
15 \draw[fill=black!0,draw=black!40,line width=.35pt,] (2.20000,1.45000) rectangle ++(0.70000,0.70000);
16 \node[] at (2.55000,1.80000) {$0$};
17 \draw[fill=black!0,draw=black!40,line width=.35pt,] (0.80000,0.75000) rectangle ++(0.70000,0.70000);
18 \node[] at (1.15000,1.10000) {$0$};
19 \draw[fill=black!0,draw=black!40,line width=.35pt,] (1.50000,0.75000) rectangle ++(0.70000,0.70000);
20 \node[] at (1.85000,1.10000) {$0$};
21 \draw[fill=black!0,draw=black!40,line width=.35pt,] (2.20000,0.75000) rectangle ++(0.70000,0.70000);
22 \node[] at (2.55000,1.10000) {$0$};
23 \node[] at (1.85000,-0.05000) {$e_0\longmapsto2e_1$};
24 \node[] at (6.50000,2.70000) {$(3,2)$};
25 \node[] at (5.00000,1.30000) {$(1,2)$};
26 \node[] at (8.00000,1.30000) {$(3/2,1/2)$};
27 \draw[->] (6.05000,2.50000) -- (5.15000,1.65000);
28 \draw[->] (5.60000,1.30000) -- (7.10000,1.30000);
29 \draw[->] (7.90000,1.65000) -- (6.95000,2.50000);
30 \node[] at (6.50000,-0.05000) {one unchanged ambient vector};
31 \draw[->,black!55] (9.30000,0.45000) -- (11.90000,0.45000);
32 \draw[->,black!55] (9.50000,0.30000) -- (9.50000,1.95000);
33 \draw[dashed,black!55] (9.50000,0.45000) -- (10.55000,0.45000) -- (10.55000,1.50000) -- (9.50000,1.50000) -- cycle;
34 \draw[fill=black!10,line width=1pt] (9.50000,0.45000) -- (10.55000,0.45000) -- (11.60000,1.50000) -- (10.55000,1.50000) -- cycle;
35 \draw[->,line width=1.4pt] (9.50000,0.45000) -- (10.55000,1.50000);
36 \node[font=\sffamily\bfseries] at (10.55000,2.45000) {};
37 \node[anchor=west] at (10.67000,1.72000) {$(1,1)$};
38 \node[] at (11.00000,-0.05000) {$H=\begin{psmallmatrix}1&1\\0&1\end{psmallmatrix}\ne I$};
39 \draw[black!25] (4.00000,-0.35000) -- (4.00000,3.95000);
40 \draw[black!25] (9.00000,-0.35000) -- (9.00000,3.95000);
41 \end{tikzpicture}

Back to source controls

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