Landau-Ginzburg Mirror Symmetry Conjecture
arXiv:1503.01757
Abstract
We prove the Landau-Ginzburg mirror symmetry conjecture between invertible quasi-homogeneous polynomial singularities at all genera. That is, we show that the FJRW theory (LG A-model) of such a polynomial is equivalent to the Saito-Givental theory (LG B-model) of the mirror polynomial.
48 pages. This is the preprint for the publication appearing in J. Eur. Math. Soc
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Cited by in corpus (10)
- Nonabelian Landau-Ginzburg orbifolds and Calabi-Yau/Landau-Ginzburg correspondence
- Mirror Symmetry for Nonabelian Landau-Ginzburg Models
- A Mirror Theorem between Landau-Ginzburg models
- Categorical Saito theory, II: Landau-Ginzburg orbifolds
- Gromov-Witten Theory of Quotient of Fermat Calabi-Yau varieties
- An extension of polar duality of toric varieties and its consequences in Mirror Symmetry
- On the L2-Hodge theory of Landau-Ginzburg models
- Borcea-Voisin Mirror Symmetry for Landau-Ginzburg models
- Virasoro constraints in quantum singularity theories
- LG/CY correspondence between geometries