2011 Fiscal Year Final Research Report
Study of factorization of stable map using lift, extension and extension-lift
| Project/Area Number |
21740058
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Single-year Grants |
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| Research Field |
Geometry
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| Research Institution | Aichi University of Education |
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Principal Investigator |
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| Project Period (FY) |
2009 – 2011
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| Keywords | 微分トポロジー |
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| Research Abstract |
For an oriented once punctured surface, we consider a Morse function of collar neighborhood of the boundary to the line. We study the question when this Morse function has an extension-lift of the original surface to the plane. We give a judgment of existent and non-existent law.
We consider the relationship between an immersion of an oriented surface into the 3-space and a stable map into the plane. When we fix a stable map into the plane, we classify immersions which are lifts of this stable map up to regular homotopy.
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