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Lower Bounds for Enumerative Counts of Positive-Genus Real Curves (1511.02206v1)
Published 6 Nov 2015 in math.AG, hep-th, and math.SG
Abstract: We transform the positive-genus real Gromov-Witten invariants of many real-orientable symplectic threefolds into signed counts of curves. These integer invariants provide lower bounds for counts of real curves of a given genus that pass through conjugate pairs of constraints. We conclude with some implications and related conjectures for one- and two-partition Hodge integrals.