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We transform the positive-genus real Gromov-Witten invariants of manyreal-orientable symplectic threefolds into signed counts of curves. Theseinteger invariants provide lower bounds for counts of real curves of a givengenus that pass through conjugate pairs of constraints. We conclude with someimplications and related conjectures for one- and two-partition Hodgeintegrals.

Lower Bounds for Enumerative Counts of Positive-Genus Real Curves