| Budget Amount *help |
¥4,940,000 (Direct Cost: ¥3,800,000、Indirect Cost: ¥1,140,000)
Fiscal Year 2014: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2013: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2012: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2011: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
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| Outline of Final Research Achievements |
I studied boundary behavior of deformation spaces of Kleinan groups. Especially, I studied the deformation space of the once-punctured torus group and made clear that how linear slices of traces close to 2 converge or not converge to the linear slice of trace 2 (Maskit slice). This is obtained from Bromberg's theory of non-local connectivity of the deformation space by using the trace coordinates. I also studied the deformation space of the twice-punctured torus groups. In addition, I started a research of distributions of totally geodesic planes in hyperbolic 3-manifolds. This corresponds to the study of actions of Kleinan groups on the 3-dimensional de-Sitter space.
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