A proof of the Landau-Ginzburg/Calabi-Yau correspondence via the crepant transformation conjecture
arXiv:1410.5503
Abstract
We establish a new relationship (the MLK correspondence) between twisted FJRW theory and local Gromov-Witten theory in all genera. As a consequence, we show that the Landau-Ginzburg/Calabi-Yau correspondence is implied by the crepant transformation conjecture for Fermat type in genus zero. We use this to then prove the Landau-Ginzburg/Calabi-Yau correspondence for Fermat type, generalizing the results of A. Chiodo and Y. Ruan.
arXiv comment42 pages
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Cited by in corpus (6)
- The Crepant Transformation Conjecture for Toric Complete Intersections
- LG/CY Correspondence for Elliptic Orbifold Curves via Modularity
- A Brief Survey of FJRW Theory
- A new method toward the Landau-Ginzburg/Calabi-Yau correspondence via quasi-maps
- The Moduli Space in the Gauged Linear Sigma Model
- Gromov-Witten theory of toroidal orbifolds and GIT wall-crossing