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 [20], we construct non-trivial tautological relations parallel to Pixton’s double ramification cycle relations for the moduli of curves. Examples and applications are discussed.
Funding Statement
The author was supported in part by ERC Grant ERC-2017-AdG-786580-MACI and Korea Foundation for Advanced Studies.
Citation
Younghan Bae. "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
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