The Eynard-Orantin recursion and equivariant mirror symmetry for the projective line
Algebraic Geometry
2017-06-14 v3
Abstract
We study the equivariantly perturbed mirror Landau-Ginzburg model of the projective line. We show that the Eynard-Orantin recursion on this model encodes all genus all descendants equivariant Gromov-Witten invariants of the projective line. The non-equivariant limit of this result is the Norbury-Scott conjecture, while by taking large radius limit we recover the Bouchard-Marino conjecture on simple Hurwitz numbers.
Keywords
Cite
@article{arxiv.1411.3557,
title = {The Eynard-Orantin recursion and equivariant mirror symmetry for the projective line},
author = {Bohan Fang and Chiu-Chu Melissa Liu and Zhengyu Zong},
journal= {arXiv preprint arXiv:1411.3557},
year = {2017}
}
Comments
34 pages, 5 figures; references added, typos corrected