Komorebi Space

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1 \begin{tikzpicture}[x=1cm,y=1cm]
2 \fill[KomorebiSoft!65,rounded corners=7pt] (-6.7,-.8) rectangle (-1.3,3.2);
3 \fill[KomorebiSoft!65,rounded corners=7pt] (.1,-.8) rectangle (6.7,3.2);
4 \node[box,circle,minimum size=1cm] (id) at (-4,1.15) {$1$};
5 \draw[arr] (id) to[loop above,min distance=12mm] (id);
6 \node[lab] at (-4,2.7) {$\Aut(1)=S_3$};
7 \node[lab] at (-4,-.25) {identity cocycle};
8 \node[box,circle,inner sep=5pt] (a) at (3.4,2.15) {$(12)$};
9 \node[box,circle,inner sep=5pt] (b) at (1.4,.35) {$(13)$};
10 \node[box,circle,inner sep=5pt] (c) at (5.4,.35) {$(23)$};
11 \draw[<->,thick,KomorebiPine] (a)--(b);
12 \draw[<->,thick,KomorebiPine] (b)--(c);
13 \draw[<->,thick,KomorebiPine] (c)--(a);
14 \node[lab,fill=KomorebiSoft!65,inner sep=3pt] at (3.4,1) {conjugation};
15 \node[lab] at (3.4,-.35) {each stabilizer is $C_2$};
16 \node[dot] (oi) at (-4,-2.05) {};
17 \node[dot] (ot) at (3.4,-2.05) {};
18 \draw[thinarr,dashed] (-4,-.85)--(oi);
19 \draw[thinarr,dashed] (3.4,-.85)--(ot);
20 \node[lab,below=4pt] at (oi) {one orbit};
21 \node[lab,below=4pt] at (ot) {one orbit};
22 \node[lab,text width=13.5cm] at (0,-3.4) {Two orbit classes, but nontrivial groups of comparison witnesses.\\The arrows and automorphisms disappear in the coarse orbit set.};
23 \end{tikzpicture}

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