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October 2019 Borcea–Voisin mirror symmetry for Landau–Ginzburg models
Amanda Francis, Nathan Priddis, Andrew Schaug
Illinois J. Math. 63(3): 425-461 (October 2019). DOI: 10.1215/00192082-7899497

Abstract

Fan–Jarvis–Ruan–Witten theory is a formulation of physical Landau–Ginzburg models with a rich algebraic structure, rooted in enumerative geometry. As a consequence of a major physical conjecture, called the Landau–Ginzburg/Calabi–Yau correspondence, several birational morphisms of Calabi–Yau orbifolds should correspond to isomorphisms in Fan–Jarvis–Ruan–Witten theory. In this paper, we exhibit some of these isomorphisms that are related to Borcea–Voisin mirror symmetry. In particular, we develop a modified version of Berglund–Hübsch–Krawitz mirror symmetry for certain Landau–Ginzburg models. Using these isomorphisms, we prove several interesting consequences in the corresponding geometries.

Citation

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Amanda Francis. Nathan Priddis. Andrew Schaug. "Borcea–Voisin mirror symmetry for Landau–Ginzburg models." Illinois J. Math. 63 (3) 425 - 461, October 2019. https://doi.org/10.1215/00192082-7899497

Information

Received: 30 April 2019; Revised: 2 July 2019; Published: October 2019
First available in Project Euclid: 19 September 2019

zbMATH: 07110748
MathSciNet: MR4012350
Digital Object Identifier: 10.1215/00192082-7899497

Subjects:
Primary: 14J32
Secondary: 14J28, 14J33, 14N35, 51P05

Rights: Copyright © 2019 University of Illinois at Urbana-Champaign

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Vol.63 • No. 3 • October 2019
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