A proof of the Landau-Ginzburg/Yau correspondence via the crepant transformation conjecture
| Autor: | Yuan-Pin Lee, Mark Shoemaker, Nathan Priddis |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
Fermat's Last Theorem
Pure mathematics Conjecture 010308 nuclear & particles physics General Mathematics 010102 general mathematics Zero (complex analysis) Type (model theory) 01 natural sciences Mathematics::Algebraic Geometry Transformation (function) 0103 physical sciences Calabi–Yau manifold Mathematics::Differential Geometry 0101 mathematics Mathematics::Symplectic Geometry Mathematics |
| Zdroj: | Annales scientifiques de l'École normale supérieure. 49:1403-1443 |
| ISSN: | 1873-2151 0012-9593 |
| Popis: | We establish a new relationship (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 in [6]. |
| Databáze: | OpenAIRE |
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