2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/112931The aim of Part II is to explore the technique of invariance of tautological equations in the realm of Gromov--Witten theory. The main result is a proof of Invariance Theorem (Invariance Conjecture~1 in [14]), via the techniques from Gromov--Witten theory. It establishes some general inductive structure of the tautological rings, and provides a new tool to the study of this area.This article supercedes part of math.AG/0311100Algebraic Geometrytext