| Budget Amount *help |
¥4,940,000 (Direct Cost: ¥3,800,000、Indirect Cost: ¥1,140,000)
Fiscal Year 2015: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
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: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
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| Outline of Final Research Achievements |
We made several researches mainly on the mapping class group related to topology on the surface embedded in 3 or 4-manifolds. Especially, we obtained results on the abelianization and minimal generating set of the level 2 mapping class groups of non-orientable surfaces, a normal generating set of the Torelli groups of non-orientable surfaces, pseudo-Anosov elements and finite presentations of the hyper-elliptic handlebody group, links which are closed orbits of Morse-Smale flows on the 3-sphere, a uniqueness and periods of null-cobordant periodic maps on closed orientable surfaces, and a uniqueness of periodic maps on compact surfaces with boundaries.
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