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Twisted homology and cohomology groups associated to the Wirtinger integral
| Title: | Twisted homology and cohomology groups associated to the Wirtinger integral |
| Authors: | Watanabe, Humihiko Browse this author |
| Keywords: | Wirtinger integral | | theta function | | twisted homology group | | twisted cohomology group | | de Rham cohomology |
| Issue Date: | 2006 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 807 |
| Start Page: | 1 |
| End Page: | 11 |
| Abstract: | 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). |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/69615 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics
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Submitter: 数学紀要登録作業用
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