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Bones about 4-dimensional differential structures and about Seifert surgeries

Bones about 4-dimensional differential structures and about Seifert surgeries
关于 4 维微分结构和 Seifert 手术的骨头
批准号:
24840006
负责人:
TANGE Motoo
金额:
$1.5万
依托单位:
依托单位国家:
日本
项目类别:
Grant-in-Aid for Research Activity Start-up
财政年份:
2012
资助国家:
日本
项目状态:
已结题
起止时间:
2012-08-31 至 2014-03-31

项目摘要

项目成果

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中文摘要
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英文摘要
I studied some types of the local deformation of 4-manifolds by using Cork and Plug. I constructed infinitely many exotic structures with boundary by using my plug with infinitely order. Also, I considered other various deformation arising exotic structures. I found some negative-definite spin 4-manifolds for homology spheres. T.Abe and I studied slice-ribbon conjecture, as a result we found singularity sets generalizing ribbon singurality sets. We show the annulus twists for some 8_{20} gives ribbon knots.Y.Yamada and I did research of lens space surgery. We analyzed the closed 4-manifolds obtained from torus knot and Berge's VII and VIII knot surgeries. I advanced the research of my classification problem of lens space surgery. I established the way to use continued fraction to prove the completeness of lens space suregery. K. Sato and I studied non-orientable genus in negative-definite 4-manifolds.
期刊论文(23)
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科研奖励(0)
会议论文
Four-dimensional manifolds constructed by lens space surgeries along torus knots
通过透镜空间手术沿环面结构造四维流形
DOI: 10.1142/s0218216512501118
发表时间: 2012
期刊: J. Knot Theory Ramifications
影响因子: --
作者: [M. Tange, Y. Yamada]
通讯作者: Y. Yamada
−E8を交差形式とする4次元多様体の境界となるホモロジー球面
同调球,是 4 维流形的边界,其交集形式为 -E8
DOI: --
发表时间: 2013
期刊:
影响因子: --
作者: [Paolo Cascini, Yoshinori Gongyo, 丹下基生]
通讯作者: 丹下基生
-E8 を交差形式とする4次元多様体の境界となるホモロジー球面
同调球面,是交集形式为 -E8 的 4 流形的边界
DOI: --
发表时间:
期刊:
影响因子: --
作者: [渡辺信三, 重川一郎 (他, 中島誠), Yoshinori Gongyo, 宮崎彬,山崎高幸,末原大幹,難波俊雄 浅井祥仁,小林富雄,斎藤晴雄, 立松芳典,小川勇,出原敏孝, 渡邉究, 丹下基生]
通讯作者: 丹下基生
Annulus twist and ribbon knots
环形扭结和丝带结
DOI: --
发表时间:
期刊:
影响因子: --
作者: [山崎高幸,宮崎彬,末原大幹,難波俊雄 浅井祥仁,小林富雄,斎藤晴雄, 立松芳典,小川勇,出原敏孝, 渡邉究, Tetsuya Abe]
通讯作者: Tetsuya Abe
17
    Research on low-dimensional manifold with handle diagram
    • 批准号:
      26800031
    • 项目类别:
      Grant-in-Aid for Young Scientists (B)
    • 资助金额:
      $1.5万
    • 财政年份:
      2014
    • 负责人:
      TANGE Motoo
    • 依托单位:
    海外基金