The geometry of the mapping class group action on the character variety of surface groups
| Project/Area Number |
23540088
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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| Section | 一般 |
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| Research Field |
Geometry
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| Research Institution | Nara Women's University |
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Principal Investigator |
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| Project Period (FY) |
2011 – 2013
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| Project Status |
Completed (Fiscal Year 2013)
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| Budget Amount *help |
¥2,080,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥480,000)
Fiscal Year 2013: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2012: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2011: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
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| Keywords | 位相幾何 / 双曲幾何 / 双曲幾何学 / 指標多様体 |
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| Research Abstract |
We studied the SL(2,C)-character variety of once punctured torus. In particular, we investigate the relation between the Q-condition due to Bowditch, the discreteness of the corresponding representation, the complexity of the dynamics of the mapping class group action on the character variety. We published a joint paper with Yohei Komori on the global structure of the discreteness loci of the linear slices of the character variety. We carried our a computer experiments on primitive stableness, which was introduced recently by Minsky and measures the complexity of the dynamics of the mapping class group action, and compared our results with Q-condition.
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Report
(4 results)
Research Products
(27 results)
