2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/196362We use instanton numbers to: (i) stratify moduli of vector bundles, (ii) calculate relative homology of moduli spaces and (iii) distinguish curve singularities.To appear in Communications in Mathematical PhysicsMathematical PhysicsAlgebraic Geometry14D21; 14J60Three Applications of Instanton Numberstext