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arXiv · 1411.3557

The Eynard-Orantin recursion and equivariant mirror symmetry for the projective line

Bohan Fang·Chiu-Chu Melissa Liu·Zhengyu Zong
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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.

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Bohan Fang, Chiu-Chu Melissa Liu, Zhengyu Zong. 2014-11-13. The Eynard-Orantin recursion and equivariant mirror symmetry for the projective line. https://doi.org/10.2140/gt.2017.21.2049

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