| Budget Amount *help |
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2011: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2010: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2009: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2008: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
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| Research Abstract |
In order to improve the study on deformations and the mapping class groups of closed surfaces embedded in 4-manifolds, we made several researches on the mapping class group from the topological viewpoint. Especially, we obtained results on the uniqueness of periodic maps with large periods, the regular homotopic deformations of the bounded surface embedded in the 3-sphere, the Nielsen realization problems on the mapping class groups of the 3-dimensional handlebodies, and the mapping class groups of the nonorientable closed surfaces standardly embedded in the 4-sphere.
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