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arXiv · 1708.05775

Borcea-Voisin Mirror Symmetry for Landau-Ginzburg models

Amanda Francis·Nathan Priddis·Andrew Schaug
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Abstract

FJRW 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 FJRW theory. In this paper it is shown that not only does this claim prove to be the case, but is a special case of a wider FJRW isomorphism theorem, which in turn allows for a proof of mirror symmetry for a new class of cases in the Landau-Ginzburg setting. We also obtain several interesting geometric applications regarding the Chen-Ruan cohomology of certain Calabi-Yau orbifolds.

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BibTeXRIS

Amanda Francis, Nathan Priddis, Andrew Schaug. 2017-08-18. Borcea-Voisin Mirror Symmetry for Landau-Ginzburg models. https://doi.org/10.1215/00192082-7899497

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