| Budget Amount *help |
¥2,990,000 (Direct Cost: ¥2,300,000、Indirect Cost: ¥690,000)
Fiscal Year 2015: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2014: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2013: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2012: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
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| Outline of Final Research Achievements |
The purpose of this research is to reveal the symplectic topological nature of
a Lagrangian submanifold with a high degree of symmetry in a symplectic manifold. There were few concrete studies concerned with this kind of Lagrangian submanifold. By using the symmetries of these spaces, in particular in the complex projective space, we obtained the results about homological rigidity of Lagrangian submanifolds, explicit calculations of Lagrangian Floer cohomology, including an application to the Hamiltonian volume minimizing problem.
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