Tautological relations for stable maps to a target variety

Abstract

We define tautological relations for the moduli space of stable maps to a target variety. Using the double ramification cycle formula for target varieties of Janda-Pandharipande-Pixton-Zvonkine, we construct nontrivial tautological relations parallel to Pixton's double ramification cycle relations for the moduli of curves. Examples and applications are discussed.

final version; to appear in Archiv für Mathematik

Cited by in corpus (2)

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• Curves on K3 surfaces in divisibility two