| Budget Amount *help |
¥4,680,000 (Direct Cost: ¥3,600,000、Indirect Cost: ¥1,080,000)
Fiscal Year 2018: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2017: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2016: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2015: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
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| Outline of Final Research Achievements |
This research studies the moduli spaces of stable maps in non-compact symplectic manifolds with concave end; the aim is to construct their Kuranishi structures. In particular, we focus on the following three related topics: (1) We observe sequences of pseudoholomorphic curves in the symplectizations of contact manifolds to describe the corners of Kuranishi structures of the moduli spaces of stable maps. (2) We study the details of bubbling off phenomena to understand the convergences of stable maps. (3) We may think some kind of Morse homology of manifolds with boundary as a toy model of Floer homology of Lagrangian submanifolds in non-compact symplectic manifolds with concave end. Towards A infinity algebras for some Lagrangian submanifolds in non-compact symplectic manifolds with concave end, we construct products on Morse homology of manifolds with boundary.
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