2016 Fiscal Year Final Research Report
Moduli spaces of instantons from a metric point of view
| Project/Area Number |
25800045
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Multi-year Fund |
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| Research Field |
Geometry
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| Research Institution | Nagoya University (2016)
Osaka University (2013-2015) |
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Principal Investigator |
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| Project Period (FY) |
2013-04-01 – 2017-03-31
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| Keywords | Donaldson理論 / 四次元多様体 / 幾何解析 |
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| Outline of Final Research Achievements |
My mathematical interests include Donaldson theory and Seiberg-Witten theroy in four-manifold topology. Especially, I am interested in non-compactness phenomena of the moduli spaces of instantons.
I proved an optimal asymptotic growth of the diameters of the moduli spaces of instantons with respect to the instanton number for the standard 4-sphere.
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| Free Research Field |
微分幾何
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