| Budget Amount *help |
¥4,940,000 (Direct Cost: ¥3,800,000、Indirect Cost: ¥1,140,000)
Fiscal Year 2015: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2014: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Fiscal Year 2013: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
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| Outline of Final Research Achievements |
I obtained the following results about the topology of manifolds with torus actions.
①We proved that any cohomology ring isomorphism between two Bott manifolds preserves their Pontrjagin classes (Joint work with Choi and Murai). ②We gave an explicit presentation of the cohomology ring strucure of Peterson varieties and regular nilpotent Hessenberg varieties which are subvarieties of flag varieties (joint work with Fukukawa-Harada, Harada-Horiguchi, Abe-Harada-Horiguchi). ③We studied the cohomology f toric origami manifolds (joint work with Ayzenberg, Park and Zeng). ④We studied the symmetry of torus manifolds by introducing a root system for a torus manifold (joint work with Kuroki).
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