2011 Fiscal Year Final Research Report
bounded cohomology and symplectic topology around mapping class groups
| Project/Area Number |
20540056
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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 | Hokkaido University |
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Principal Investigator |
KANDA Yutaka 北海道大学, 大学院・理学研究院, 助教 (30280861)
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| Project Period (FY) |
2008 – 2011
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| Keywords | 位相幾何学 |
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| Research Abstract |
To investigate bounded cohomology of mapping class groups of compact surfaces and to show the boundedness of Morita-Mumford classes, I studied a certain class of finite dimensional representations of these groups, with special focus on estimating their range. Also I tried to apply Takefumi Nosaka' work, that on the interrelationship between quandle cohomology and Lefshetz fibrations over the sphere, to estimate the Gromov semi-norm of the 1^<st> Morita-Mumford classes.
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