This analysis reveals a correspondence between Gromov-Witten invariants and the I-function in toric surfaces.
We study the open/closed correspondence for the projective line via mirror symmetry. More explicitly, we establish a correspondence between the generating function of disk Gromov-Witten invariants of the complex projective line P¹ with boundary condition specified by an S¹-invariant Lagrangian sub-manifold L and the asymptotic expansion of the I-function of a toric surface S.
No takes yet. Share an insight, caveat, or question.
Yu et al. (2025) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: