| Budget Amount *help |
¥3,510,000 (Direct Cost: ¥2,700,000、Indirect Cost: ¥810,000)
Fiscal Year 2014: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2013: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2012: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
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| Outline of Final Research Achievements |
For the previous joint work with M. Furuta and H. Fujita on an index theory for Dirac type operators on possibly non-compact Riemannian manifolds based on the idea of Witten's deformation, I investigated the dependence of the index on additional geometric structures which are used to define the index from the viewpoint of the cobordism. I also investigated the formulation of our theory by using the K-theory. Furthermore I investigated the relationship between other researches and ours, and applied our index theory to geometric quantization and other research area.
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