2016 Fiscal Year Final Research Report
Reconstruction of 2 and 3-dimensional closed manifolds by equi-dimensional stable maps and classification of embedding or immersion lifts
| Project/Area Number |
25800032
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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 | Hirosaki University |
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Principal Investigator |
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| Project Period (FY) |
2013-04-01 – 2017-03-31
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| Keywords | 安定折り目写像 / はめ込み |
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| Outline of Final Research Achievements |
The research leader studied constructions of stable fold maps of closed oriented 3-dimensional manifolds to the 3-space and lifts of these stable fold maps to immersions to the 4-space. The research results are as follows. (1): The leader constructed stable fold map of the lens space L(p, 1) to the 3-space whose singularity set is a torus. (2): The leader showed that an immersion lift of the stable fold map of the 3-sphere which was constructed in (1) to the 4-space is a generator of the cobordism group of the closed oriented 3-dimensional manifold to the 4-space.
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| Free Research Field |
微分位相幾何学
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