Lagrangian Floer theory on compact toric manifolds II: bulk deformations
SCIE
SCOPUS
- Title
- Lagrangian Floer theory on compact toric manifolds II: bulk deformations
- Authors
- Fukaya, K; Oh, YG; Ohta, H; Ono, K
- Date Issued
- 2011-09
- Publisher
- SPRINGER BASEL AG
- Abstract
- This is a continuation of part I in the series of the papers on Lagrangian Floer theory on toric manifolds. Using the deformations of Floer cohomology by the ambient cycles, which we call bulk deformations, we find a continuum of non-displaceable Lagrangian fibers on some compact toric manifolds. We also provide a method of finding all fibers with non-vanishing Floer cohomology with bulk deformations in arbitrary compact toric manifolds, which we call bulk-balanced Lagrangian fibers.
- Keywords
- Toric manifolds; Floer cohomology; Weakly unobstructed Lagrangian submanifolds; Potential function; Jacobian ring; Bulk deformations; Bulk-balanced Lagrangian submanifolds; Open-closed Gromov-Witten invariant; SUBMANIFOLDS; VARIETIES; HOMOLOGY
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/13728
- DOI
- 10.1007/S00029-011-0057-Z
- ISSN
- 1022-1824
- Article Type
- Article
- Citation
- SELECTA MATHEMATICA-NEW SERIES, vol. 17, no. 3, page. 609 - 711, 2011-09
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