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

Abstract

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.

Proceedings of the "Workshop on Geometry and Physics of the Landau-Ginzburg model", Institut Fourier, Grenoble, May 31 - June 4, 2010

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Cited by in corpus (1)

• Landau-Ginzburg/Calabi-Yau correspondence, global mirror symmetry and Orlov equivalence