| Budget Amount *help |
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2019: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2018: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2017: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
|
|---|
| Outline of Final Research Achievements |
In order to discritize the index theorem, we first established the Ginsparg-Wilson index theorem, which appears when we deal with combinatorial or finite-dimensional operators. Second, we clarified the relation between the Callias index theorem and the Roe algebra for complete Riemannian manifolds. Third, we investigated the Bott-Virasoro class and the space of equicentro-affine curves on the plane and proved the existence of a momentum map for the symplectic action of the diffeomorphism group of unit circle.
|
