| Budget Amount *help |
¥5,200,000 (Direct Cost: ¥4,000,000、Indirect Cost: ¥1,200,000)
Fiscal Year 2017: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2016: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2015: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2014: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2013: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
|
|---|
| Outline of Final Research Achievements |
As an algebraic invariant of geometry, we studied associating A-infinity categories to geometric objects and various properies of triangulated categories constructed from their A-infinity cagetories. For example, we discussed a way of constructing an A-infinity structure of the Fukaya category of a symplectic manifold in the setting of mirror symmetry of torus fibrations so that the homolojical mirror symmetry hold true.
We in addition proceeded this construction when the symplectic manifold is a two-torus,
and discussed a relation of the A-infinity structure with the triangulated structure.
|
