Mirror symmetry for toric Fano manifolds via SYZ transformations
By Kwokwai Chan, N. Leung. 2008
54 citations recorded by the source corpus.
Abstract We construct and apply Strominger–Yau–Zaslow mirror transformations to understand the geometry of the mirror symmetry between toric Fano manifolds and Landau–Ginzburg models.
Subfields: Geometry and Topology, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/d34b66f669216d608307126a3aa4a17d0c11dd42
How researchers see this paper
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In Geometry and Topology
- D. Auroux
- L. Katzarkov
- M. Abouzaid
- Nick Sheridan
- P. Seidel
- I. Smith
- David Treumann
- Chiu-Chu Melissa Liu
In Statistical and Nonlinear Physics
- L. Katzarkov
- M. Abouzaid
- D. Auroux
- Eric Zaslow
- David Treumann
- Chiu-Chu Melissa Liu
- Bohan Fang
- Dmitri Orlov
Citations in the corpus
- T-Duality and Homological Mirror Symmetry of Toric Varieties (2008, result): “We also mention some complementary work which studies the A-model for toric varieties [11,15,16] and varieties with effective anticanonical divisors [5], and the relation to the Landau– Ginzburg mirror—especially Chan and Leung [10], which employs similar T-duality reasoning.”
- Homological mirror symmetry for punctured spheres (2011, background): “After the seminal works of Batyrev, Givental, Hori, Vafa, and many others, there are many known examples of Landau-Ginzburg mirrors to Fano varieties, especially in the toric case [13,14,17] where the examples can be understood using T -duality, generalizing the ideas of Strominger, Yau, and Zaslow ”
- Lagrangian Floer theory on compact toric manifolds II: bulk deformations (2008, methodology): “oincides with the actual potential function PO‘up to higher order terms’. (See (4.9).) In the Fano case PO0 = PO. (1.10) is Proposition 6.8. (7) During the final stage of writing this article, a paper [CL] by Chan and Leung was posted in the Archive which studies the above isomorphism via SYZ transfo”