Theta Residue #
Paper source: eq:multDiffMarkedPts and cor:evenlyMarkedKGT.
The one-strand prefix identity, together with the common reduced ratio,
already gives the multi-strand annihilation at the gcd period.
theorem
Bananas.evenlyMarkedTheta_multiple_principal
(B : Banana 2)
(α β : Fin 3)
(i : Utilities.Certificate.SubdivisionGraph.Spec.PathPosition B α)
(j : Utilities.Certificate.SubdivisionGraph.Spec.PathPosition B β)
(hEven : EvenlyMarkedTheta B α β i j)
:
linearEquiv (Utilities.Certificate.SubdivisionGraph.Spec.graph B)
(↑(B.length α / (B.length α).gcd ↑i) • (oneChip (strandVertex B α i) - oneChip (strandVertex B β j))) 0