The quantum D-module of a product of smooth projective varieties is formally isomorphic to the tensor product of the factors' quantum D-modules, making atoms multiplicative and the atom map a ring homomorphism.
Behrend,The product formula for Gromov-Witten invariants, arXiv preprint alg- geom/9710014 (1997)
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The quantum D-module of product varieties
The quantum D-module of a product of smooth projective varieties is formally isomorphic to the tensor product of the factors' quantum D-modules, making atoms multiplicative and the atom map a ring homomorphism.