| Budget Amount *help |
¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2019: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2018: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2017: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2016: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2015: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
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| Outline of Final Research Achievements |
We applied the knowledge and results in the study of harmonic bundles to solve new problems and to study new subjects. We studied the natural deformation family of
harmonic bundles on a compact Riemann surface. We particularly established the Hitchin-WKB problem, and determined the limiting configuration in the rank 2 case.
We also clarified the relation between the Kontsevich complexes and the mixed twistor D-modules associated to algebraic functions, which allows us to deduce many known results for Kontsevich complexes from a general theory of mixed twistor D-modules. Moreover, we started to study monopoles and difference modules. We established simple characterizations of Dirac type singularity of monopoles. We also established the Kobayashi-Hitchin correspondence for holomorphic bundles on non-compact Kahler manifolds with infinite volume.
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