Lagrangian Floer theory and mirror symmetry on compact toric manfolds
SCIE
SCOPUS
- Title
- Lagrangian Floer theory and mirror symmetry on compact toric manfolds
- Authors
- Kenji Fukaya; Oh, YG; Hiroshi Ohta; Kaoru Ono
- Date Issued
- 2016-01
- Publisher
- French Math. Societry
- Abstract
- In this paper we study Lagrangian Floer theory on toric manifolds from the point of view of mirror symmetry. We construct a natural isomorphism between the Frobenius manifold structures of the (big) quantum cohomology of the toric manifold and of Saito's theory of singularities of the potential function constructed in [Fukaya, Tohoku Math. J. 63 (2011)] via the Floer cohomology deformed by ambient cycles. Our proof of the isomorphism involves the open-closed Gromov-Witten theory of one-loop.
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/36486
- ISSN
- 0303-1179
- Article Type
- Article
- Citation
- Asterisque, vol. 376, no. 376, page. 1 - 340, 2016-01
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