2010 Fiscal Year Final Research Report
The mapping class group action on the space of representations of surface groups and complex dynamics
| Project/Area Number |
20540076
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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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 |
YAMASHITA Yasushi Nara Women's University, 理学部, 教授 (70239987)
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| Project Period (FY) |
2008 – 2010
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| Keywords | 双曲幾何 / クライン群 / 複素力学系 |
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| Research Abstract |
I was succeeded in constructing a counter example to the conjecture on the end invariant of the character variety of the free group of rank two. This was a joint word with Prof. S.P.Tan and Prof.M.Sakuma. I have found a set of rays similar to the pleating rays in the diagonal slice of the character variety with Prof.C.Series and Prof.S.P.Tan. With Prof.Y.Rieck, I showed that the complexity of the word problem for the automorphism groups of right-angled Artin groups is bounded from above by a polynomial.
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