I've heard it said that genus $0$ descendent Gromov-Witten invariants of a smooth projective variety $X$ can be encoded in the structure of a Frobenius manifold on the cohomology $H^*(X,\mathbb{C)}$. I am very confused by this - it is clear that this is true for non-descendent Gromov-Witten invariants. How do the descendent invariants enter in?
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