Boundary-Absorbed A₂-Curvature Inequalities for Toeplitz–Pólya Frequency Schur Minors

This preprint introduces a family of signed Schur-minor defect expressions motivated by Toeplitz/Pólya-frequency Jacobi-Trudi minors. The paper studies a boundary-absorbed global curvature mechanism on an A2-lattice strip, showing that local positivity routes are structurally inadequate: the relevant defect is not Schur-positive, its transverse second differences are not pointwise nonnegative, and fixed local endpoint absorption is too strong. The main endpoint gate is reduced by Pieri expansion to an explicit finite Schur-function expression built from three-column families. In conjugate coordinates, the local defect becomes a transverse second difference, giving an integrated A2-curvature interpretation.…