2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/133048The constructions of the virtual Euler (or moduli) cycles and their properties are explained and developed systematically in the general abstract settings.181 pages, V2; Section 2.1 is rewritten; a new Section 2.2 is added; the original Section 2.2-Section 2.7 become Section 2.3-Section 2.8; Sections 3,4 are rewritten; other places have also some small changesSymplectic GeometryDifferential GeometryConstructing virtual Euler cycles and classestext