2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/77813A compact oriented 4-manifold is defined to be of ``superconformal simple type'' if certain polynomials in the basic classes (constructed using the Seiberg-Witten invariants) vanish identically. We show that all known 4-manifolds of $b_2^+>1$ are of superconformal simple type, and that the numerical invariants of 4-manifolds of superconformal simple type satisfy a generalization of the Noether inequality. We sketch how these phenomena are predicted by the existence of certain four-dimensional superconformal quantum field theories.9 pages, harvmac b mode, a reference correctedDifferential GeometryHigh Energy Physics - Theorytext