Twisted homology and cohomology groups associated to the Wirtinger integral

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概要

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• The first half of this paper (Section 1) deals with the structure of the twisted homology group associated to the Wirtinger integral. A basis of the first homology group is given, and the vanishing of the homology groups of the other dimensions is proved. The second half (Section 2) deals with the structure of the twisted cohomology groups associated to the Wirtinger integral. The isomorphism between the twisted cohomology groups and the cohomology groups associated to a certain subcomplex of the de Rham complex is established, and a basis of the first cohomology group of this subcomplex (therefore, of the first twisted cohomology group) is given. The vanishing of the cohomology groups of the other dimensions is also proved.

• 社団法人 日本数学会の論文
• 2007-10-01

著者

• Watanabe Humihiko

  Kitami Institute Of Technology

関連論文

• Twisted homology and cohomology groups associated to the Wirtinger integral
• Transformation relations of matrix functions associated to the hypergeometric function of Gauss under modular transformations

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