3819 — The Five-Wall Leray Residues Have a Canonical Oriented Corner Packet
Frozen convention
Use the residue chart coordinates
a = y23, b = y31
with ambient orientation da wedge db and Poincaré convention
dq_i wedge Res_i(Omega) = Omega.
The five source marks are
g1 : b-y-z
g2 : a-x-z
g3 : a+b+z
g23 : b-x
g31 : a-y.
Wall maps
The source-oriented simple residues of da wedge db / q_i are
Res_g1 = -da
Res_g2 = db
Res_g3 = db
Res_g23 = -da
Res_g31 = db.
Each identity reconstructs the ambient orientation exactly when wedged on the
left with its labelled dq_i.
Corner maps
Two pairs are parallel and have no finite corner:
(g1,g23), (g2,g31).
Every other pair has affine Jacobian +1 or -1. Therefore all eight finite
iterated residues are integral units. Reversing the residue order changes the
sign exactly:
Res_j Res_i = - Res_i Res_j.
The machine-readable packet records every labelled intersection point, Jacobian, ordered residue coefficient, and the signed wall-to-corner Čech incidence.
Narrow conclusion
The local wall and corner maps required by Entry 3816 are now fixed without a
period fit, basis projector, or normalization choice. No denominator or
fractional index appears in the incidence layer: all corner transition units
are +1 or -1.
What remains is physical activation. These residue maps specify how a form restricts when a labelled wall or corner is used; they do not prove that the source relative cycle has nonzero incidence with every such support. The next gate must transport the published negative-imaginary prescription to the five wall tubes and determine its winding/linking vector before applying these maps.
Artifacts
research/benincasa/checkers/check_rank26_five_wall_corner_residue_packet.pyresearch/benincasa/results/rank26-five-wall-corner-residue-packet.json
Allocator claim: seqclaim-4be4aaffa03b7378c0860596.