Lower Bounds for Enumerative Counts of Positive-Genus Real Curves
Algebraic Geometry
2015-11-09 v1 High Energy Physics - Theory
Symplectic Geometry
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
Cite
@article{arxiv.1511.02206,
title = {Lower Bounds for Enumerative Counts of Positive-Genus Real Curves},
author = {Jingchen Niu and Aleksey Zinger},
journal= {arXiv preprint arXiv:1511.02206},
year = {2015}
}
Comments
49 pages, 3 figures, 2 tables