Fano reduced-invariant conjecture

Let $X$ be a Fano variety for which both the reduced and standard Gromov–Witten invariants are defined. Fano reduced-invariant conjecture. The reduced and standard Gromov–Witten invariants of $X$ agree.

This predicts that the reduced construction introduces no change for Fano targets. The candidate context gives no further hypotheses or evidence concerning the status of the conjecture.