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arXiv · 1511.02206

Lower Bounds for Enumerative Counts of Positive-Genus Real Curves

Jingchen Niu·Aleksey Zinger
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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.

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Jingchen Niu, Aleksey Zinger. 2015-11-06. Lower Bounds for Enumerative Counts of Positive-Genus Real Curves. https://arxiv.org/abs/1511.02206

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