$(f,q)$ Flows and Theta Characteristics Demo
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Mode:
Free drag
Segment 0→f
γ
Target torsion class $\gamma$
\gamma_0 : f = (0,0,0,0,0)
\gamma_{abc} : f = (.5,-.5,.5,0,0)
\gamma_{abcd} : f = (.5,-.5,0,.5,-.5)
\gamma_{bcd} : f = (0,0,-.5,.5,-.5)
Snap to torsion points
Ref. Orientation $\mathcal{O}(G)$
Spanning Trees Legend ($T_1 \dots T_8$) — optimal cells outlined blue
1. Flow Vector $f$
2. Voronoi Space $\mathrm{Vor}(G)$ — drag the orange point
3. Induced Weights $G_f$ (Bidirectional)
4. Optimal Tree $T_q$
5. Break Divisor $B(f)$
6. Theta Characteristic $\mathcal{K}^-_\gamma$