2011 Fiscal Year Final Research Report
Study on the secondary obstruction classes of singularities
| Project/Area Number |
21540101
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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 | Kinki University |
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Principal Investigator |
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| Project Period (FY) |
2009 – 2011
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| Keywords | 多様体 / 微分可能写像 / 特異点 |
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| Research Abstract |
The secondarycohomology class of singularity for a generic smooth map between differentiable manifolds can be defined as an obstruction class other than the Thom polynomials of singularities. For a generic smooth map between 4-manifolds we have proved that the 4-thStiefel-Whitney class of the source 4-manifold would be the secondary obstructionclass for eliminating cusp singularities of the smooth map.
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