Studies of cohomology groups in Poisson geometry
Studies of cohomology groups in Poisson geometry
批准号:
23540067
负责人:
MIKAMI KENTARO
金额:
$3.24万
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:
2011
资助国家:
日本
项目状态:
已结题
起止时间:
2011 至 2013
中文摘要
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英文摘要
I studied about Sp(2n) relative Gel'fand-Kalinin-Fuks cohomology groups of the formal Hamiltonian vector fields on the 2n-dimensional symplectic vector space ant got the results below. 1) In 2-dim case, we determined the GKF cohomology groups for weight 20. 2) In the case of 4-dim, using Littlewood-Richardson rule, we determined the GKF cohomology groups for weight 2,4 and 6. This was published in J.Math.Sci.Univ.Tokyo 19(2012)1-18, by the title Lower weight Gel'fand-Kalinin-Fuks cohomology groups of the formal Hamiltonian vector fields on R4. 3) By using crystal base theory, in 6-dimensional case, we studied the GKF cohomology groups for weight 2,4 and 6. The result is uploaded on http://arxiv.org by The relative Gel'fand-Kalinin-Fuks cohomology groups of the formal Hamiltonian vector fields on 6-dimensional plane, arXiv:1402.6834. 4) I gave an affirmative answer to a conjecture, and submitted to some Journal by the title, ``An affirmative answer to a conjecture for Metoki class''.
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A proof to Kotschick-Morita theorem of G-K-F class
G-K-F类Kotschick-Morita定理的证明
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Proof by RisaAsir to a conjecture for Metoki class
RisaAsir 对 Metoki 类猜想的证明
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Lower weight Gel'fand- Kalinin-Fuks cohomology groups of the formal Hamiltonian vector fields on R^4
R^4 上形式哈密顿量向量场的较低权重 Gelfand- Kalinin-Fuks 上同调群
DOI:
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发表时间:
2012
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影响因子:
--
作者:
[M. Tange, Y. Yamada, 守屋克洋, K. Mikami, Takayuki Morifuji, M. Kida, 長谷川和志, K. Mikami, K. Yamaguchi, Takayuki Morifuji, K. Mikami]
通讯作者:
K. Mikami
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主页等(1)
DOI:
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--
作者:
[]
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Morita conjecture about Metoki class
关于 Metoki 级的森田猜想
DOI:
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发表时间:
2013
期刊:
影响因子:
--
作者:
[M. Tange, Y. Yamada, 守屋克洋, K. Mikami]
通讯作者:
K. Mikami
共 13 条
Studies of cohomology groups associated with Poisson structures
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批准号:26400063
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项目类别:Grant-in-Aid for Scientific Research (C)
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资助金额:$3.0万
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财政年份:2014
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负责人:MIKAMI KENTARO
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依托单位:
海外基金