LG/CY correspondence: the state space isomorphism

Abstract

We prove the classical mirror symmetry conjecture for the mirror pairs constructed by Berglund, Hübsch, and Krawitz. Our main tool is a cohomological LG/CY correspondence which provides a degree-preserving isomorphism between the cohomology of finite quotients of Calabi-Yau hypersurfaces inside a weighted projective space and the Fan-Jarvis-Ruan-Witten state space of the associated Landau-Ginzburg singularity theory.

37 pages, 9 figures

References in corpus (2)

• FJRW rings and Landau-Ginzburg Mirror Symmetry
• Quotients of Hypersurfaces in Weighted Projective Space

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