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기하학 수리물리 연구단
기하학 수리물리 연구단
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Lagrangian Floer theory and mirror symmetry on compact toric manifolds

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Title
Lagrangian Floer theory and mirror symmetry on compact toric manifolds
Author(s)
Kenji Fukaya; Yong-Geun Oh; Hiroshi Ohta; Kaoru Ono
Publication Date
2016
Journal
ASTERISQUE, v., no.376, pp.1 -
Publisher
SOC MATHEMATIQUE FRANCE
Abstract
In this volume 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. © Astérisque 376, SMF 2016
URI
https://pr.ibs.re.kr/handle/8788114/2731
ISSN
0303-1179
Appears in Collections:
Center for Geometry and Physics(기하학 수리물리 연구단) > Journal Papers (저널논문)
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