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Lower bounds for enumerative counts of positive-genus real curves

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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… Click to show full 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.

Keywords: bounds enumerative; real curves; lower bounds; positive genus; enumerative counts; genus real

Journal Title: Advances in Mathematics
Year Published: 2018

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