Mirror symmetry for open r-spin invariants

Mark Gross; Tyler L. Kelly; Ran J. Tessler

doi:10.4310/PAMQ.2024.v20.n2.a9

Mirror symmetry for open r-spin invariants

Mark Gross, Tyler L. Kelly, Ran J. Tessler

Department of Mathematics

Weizmann Institute of Science

Research output: Contribution to journal › Article › peer-review

Abstract

We show that a generating function for open r-spin enumerative invariants produces a universal unfolding of the poly-nomial x^r. Further, the coordinates parametrizing this universal unfolding are flat coordinates on the Frobenius manifold associated to the Landau-Ginzburg model (C, x^r) via Saito-Givental theory. This result provides evidence for the same phenomenon to occur in higher dimension, proven in the sequel [GKT22].

Original language	English
Pages (from-to)	1005-1024
Number of pages	20
Journal	Pure and Applied Mathematics Quarterly
Volume	20
Issue number	2
DOIs	https://doi.org/10.4310/PAMQ.2024.v20.n2.a9
State	Published - 3 Apr 2024

All Science Journal Classification (ASJC) codes

General Mathematics

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10.4310/PAMQ.2024.v20.n2.a9

https://arxiv.org/abs/2203.02423License: CC BY

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abstract = "We show that a generating function for open r-spin enumerative invariants produces a universal unfolding of the poly-nomial xr. Further, the coordinates parametrizing this universal unfolding are flat coordinates on the Frobenius manifold associated to the Landau-Ginzburg model (C, xr) via Saito-Givental theory. This result provides evidence for the same phenomenon to occur in higher dimension, proven in the sequel [GKT22].",

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AB - We show that a generating function for open r-spin enumerative invariants produces a universal unfolding of the poly-nomial xr. Further, the coordinates parametrizing this universal unfolding are flat coordinates on the Frobenius manifold associated to the Landau-Ginzburg model (C, xr) via Saito-Givental theory. This result provides evidence for the same phenomenon to occur in higher dimension, proven in the sequel [GKT22].

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JO - Pure and Applied Mathematics Quarterly

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Mirror symmetry for open r-spin invariants

Abstract

All Science Journal Classification (ASJC) codes

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