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A research on Thurston's inequality for foliations

A research on Thurston's inequality for foliations
瑟斯顿叶子不等式的研究
批准号:
20540091
负责人:
MIYOSHI Shigeaki
金额:
$1.83万
依托单位:
依托单位国家:
日本
项目类别:
Grant-in-Aid for Scientific Research (C)
财政年份:
2008
资助国家:
日本
项目状态:
已结题
起止时间:
2008 至 2010

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中文摘要
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英文摘要
It was only known that Reebless foliations among codimension-one foliations on a 3-manifold satisfy Thurston's inequality. Also, according to the latest research the condition of Reebless is known not to be necessary for Thurston's inequality. Moreover, the example not satisfying Thurston's inequality had not been known. In this research, we studied spinnable foliations in detail and obtained a sufficient condition for spinnable foliations. Thus we constructed a family of spinnable foliations each of which satisfies Thurston's inequality and an example of the foliation not satisfying Thurston's inequality.
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发表时间: 2010
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作者: [Oka, Mutsuo, 三松佳彦]
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On Bennequin's isotopy lemma
关于贝内金的同位素引理
DOI: --
发表时间: 2006
期刊: Foliations 2005, Proc.Of the international conference, Lodz, Poland, June 2005
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关于可旋转叶状体的瑟斯顿不等式
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发表时间: 2006
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影响因子: --
作者: [Tatsuru, TAKAKURA, Yoshihiko MITSUMATSU]
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发表时间: 2010
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作者: [H. Kodama, Y. Mitsumatsu, S. Miyoshi & A. Mori, 清原一吉, S. Mi yoshi & A. Mori, Ishida Masashi, S.Yokura, Yoshihiko Mitsumatsu, 伊藤 仁一, Ishida,Masashi, T.Aikou, 三松佳彦]
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16
    A research on Thurston's inequality for foliations and contact topology
    • 批准号:
      23540106
    • 项目类别:
      Grant-in-Aid for Scientific Research (C)
    • 资助金额:
      $1.91万
    • 财政年份:
      2011
    • 负责人:
      MIYOSHI Shigeaki
    • 依托单位:
    Research on foliations, contact structures and Euler class
    • 批准号:
      18540095
    • 项目类别:
      Grant-in-Aid for Scientific Research (C)
    • 资助金额:
      $1.5万
    • 财政年份:
      2006
    • 负责人:
      MIYOSHI Shigeaki
    • 依托单位:
    海外基金