Twisted homology and cohomology groups associated to the Wirtinger integral

• Watanabe Humihiko

抄録

The first half of this paper deals with the structure of the twisted homology group ssociated to the Wirtinger integral. A basis of the first homology group is given, and the vanishing f the other homology groups is proved (Theorem 1). The second half deals with the structure of the wisted cohomology groups associated to the Wirtinger integral. The isomorphism between the twisted ohomology groups and the cohomology groups associated to a subcomplex of the de Rham complex is stablished, and a basis of the first cohomology group of this subcomplex (therefore, of the first twisted ohomology group) is given (Theorem 2).

収録刊行物

• Hokkaido University Preprint Series in Mathematics

  Hokkaido University Preprint Series in Mathematics 807 1-11, 2006

  Department of Mathematics, Hokkaido University

キーワード

• Wirtinger integral
• theta function
• twisted homology group
• twisted cohomology group
• de Rham cohomology

詳細情報

• CRID: 1390009224795379200
• NII論文ID: 120006459511
• DOI: 10.14943/83957
• HANDLE: 2115/69615
• 本文言語コード: en
• データソース種別:
  • JaLC
  • IRDB
  • CiNii Articles
• 抄録ライセンスフラグ: 使用可