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 non-trivial tautological relations parallel to Pixton’s double ramification cycle relations for the moduli of curves. Examples and applications are discussed.
The author was supported in part by ERC Grant ERC-2017-AdG-786580-MACI and Korea Foundation for Advanced Studies.
"Tautological relations for stable maps to a target variety." Ark. Mat. 58 (1) 19 - 38, April 2020. https://doi.org/10.4310/ARKIV.2020.v58.n1.a2