Invariance of tautological equations II: Gromov--Witten theory

Mathematics – Algebraic Geometry

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This article supercedes part of math.AG/0311100

Scientific paper

The 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.

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