Tautological relations for stable maps to a target variety
Algebraic Geometry
2021-07-20 v3
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.
Keywords
Cite
@article{arxiv.1901.03290,
title = {Tautological relations for stable maps to a target variety},
author = {Younghan Bae},
journal= {arXiv preprint arXiv:1901.03290},
year = {2021}
}
Comments
final version; to appear in Archiv f\"ur Mathematik