Bones about 4-dimensional differential structures and about Seifert surgeries
Bones about 4-dimensional differential structures and about Seifert surgeries
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
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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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
Lens space surgery and a classification
晶状体间隙手术及分类
DOI:
--
发表时间:
2013
期刊:
影响因子:
--
作者:
[Ono, Y. et al., Kiwamu Watanabe, 丹下基生]
通讯作者:
丹下基生
共 17 条
Research on low-dimensional manifold with handle diagram
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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