# Gromov-Witten Theory of Complete Intersections

@inproceedings{Arguz2021GromovWittenTO, title={Gromov-Witten Theory of Complete Intersections}, author={Hulya Arguz and Pierrick Bousseau and Rahul Pandharipande and Dimitri Zvonkine}, year={2021} }

We provide an inductive algorithm computing Gromov–Witten invariants with arbitrary insertions of all smooth complete intersections in projective space, with the exception of complete intersections of dimension at least 6 of two or more quadrics. We also prove that all Gromov–Witten classes of all smooth complete intersections in projective space, without exception, belong to the tautological ring of the moduli space of stable curves. The main idea is to show that invariants with insertions of…

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