Lagrangian Floer theory on compact toric manifolds. II: Bulk deformations
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Publication:717102
DOI10.1007/s00029-011-0057-zzbMath1234.53023arXiv0810.5654OpenAlexW2044235396MaRDI QIDQ717102
Hiroshi Ohta, Kenji Fukaya, Kaoru Ono, Yong-Geun Oh
Publication date: 27 September 2011
Published in: Selecta Mathematica. New Series (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0810.5654
toric manifoldspotential functionFloer cohomologyJacobian ringbulk deformationsbulk-balanced Lagrangian submanifoldsopen-closed Gromov-Witten invariantweakly unobstructed Lagrangian submanifolds
Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Global theory of symplectic and contact manifolds (53D35) Lagrangian submanifolds; Maslov index (53D12) Symplectic aspects of Floer homology and cohomology (53D40)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Enumerative geometry of stable maps with Lagrangian boundary conditions and multiple covers of the disc
- Period mapping associated to a primitive form
- Non-displaceable Lagrangian submanifolds and Floer cohomology with non-unitary line bundle
- Floer cohomology and disc instantons of Lagrangian torus fibers in Fano toric manifolds
- Morse theory for Lagrangian intersections
- Arnold conjecture and Gromov-Witten invariant
- Kaehler structures on toric varieties
- On the quantum homology algebra of toric Fano manifolds
- Symplectic manifolds and their Lagrangian submanifolds
- Lagrangian Floer theory on compact toric manifolds. I.
- Differentiable Operads, the Kuranishi Correspondence, and Foundations of Topological Field Theories Based on Pseudo-Holomorphic Curves
- Introduction to Toric Varieties. (AM-131)
- On the topological properties of symplectic maps
- Virtual neighborhoods and pseudo-holomorphic curves
- Mirror symmetry of abelian varieties and multi-theta functions
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