Ring of volume invariants for cyclic polytopes via signatures
Determine the ring of volume invariants encoded by signatures of piecewise-linear paths on cyclic polytopes by proving Conjecture 4.1.
References
Determine the ring of volume invariants. This refers to signatures of piecewise-linear paths on cyclic polytopes. Prove Conjecture~4.1.
— What is Positive Geometry?
(Ranestad et al., 18 Feb 2025) in Section “Open questions”: Problem [Lotter]