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A global mirror symmetry framework for the Landau–Ginzburg/Calabi–Yau correspondence

Alessandro Chiodo, Yongbin Ruan (2011)

Annales de l’institut Fourier

We show how the Landau–Ginzburg/Calabi–Yau correspondence for the quintic three-fold can be cast into a global mirror symmetry framework. Then we draw inspiration from Berglund–Hübsch mirror duality construction to provide an analogue conjectural picture featuring all Calabi–Yau hypersurfaces within weighted projective spaces and certain quotients by finite abelian group actions.

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