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arxiv: 1511.02206 · v1 · pith:OLIKYY5Onew · submitted 2015-11-06 · 🧮 math.AG · hep-th· math.SG

Lower Bounds for Enumerative Counts of Positive-Genus Real Curves

classification 🧮 math.AG hep-thmath.SG
keywords countscurvesrealboundsinvariantslowerpositive-genusconclude
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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 given genus that pass through conjugate pairs of constraints. We conclude with some implications and related conjectures for one- and two-partition Hodge integrals.

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