Lower bounds for enumerative counts of positive-genus real curves

Niu, Jingchen; Zinger, Aleksey

doi:10.1016/j.aim.2018.09.024

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Lower bounds for enumerative counts of positive-genus real curves

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Zinger, Aleksey
Max Planck Institute for Mathematics, Max Planck Society;

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https://doi.org/10.1016/j.aim.2018.09.024
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arXiv:1511.02206.pdf
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Niu, J., & Zinger, A. (2018). Lower bounds for enumerative counts of positive-genus real curves. Advances in Mathematics, 339, 191-247. doi:10.1016/j.aim.2018.09.024.

Cite as: https://hdl.handle.net/21.11116/0000-0003-C52A-0

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 Hodge integrals.