| Project/Area Number |
23740046
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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 | Gifu University |
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Principal Investigator |
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| Project Period (FY) |
2011 – 2013
|
| Project Status |
Completed (Fiscal Year 2013)
|
| Budget Amount *help |
¥2,210,000 (Direct Cost: ¥1,700,000、Indirect Cost: ¥510,000)
Fiscal Year 2013: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2012: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2011: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
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| Keywords | 結び目コボルディズム / 量子不変量 / 対称和 / 微分構造 / スライス結び目 / リボン結び目 / 結び目 / 国際情報交換（韓国） / 国際情報交流（韓国） |
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| Research Abstract |
In a mathematical investigation of knots, some studies for a classification of a knot and its application were done by using algebraic and topological methods. As a result, a relationship between given two knots has been investigated by using items called quantum invariants. As applications to the study of smooth structures of non-compact 4-manifolds (Casson handles, the connected sum of complex projective planes), and to the study of spatial graphs via contact geometry, some results concerning to the classifications have been obtained.
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