2015 Fiscal Year Final Research Report
Study of refined gauge theoretic invariants
| Project/Area Number |
25800040
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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 |
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Principal Investigator |
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| Project Period (FY) |
2013-04-01 – 2016-03-31
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| Keywords | ゲージ理論 / Floer理論 |
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| Outline of Final Research Achievements |
I studied the Seiberg-Witten-Floer stable homotopy type for 3-manifolds with positive first Betti number. The Seiberg-Witten-Floer stable homotopy type was originally defined for rational homology 3-spheres. When the construction is extended to more general 3-manifolds, some difficulties appear. I studied about the difficulties with T. Khandhawit (IPMU) and J. Lin (UCLA) and we succeeded in extending the construction of the Seiberg-Witten-Floer stable homotopy type to general 3-manifolds.
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| Free Research Field |
トポロジー
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