HUSCAP logo Hokkaido Univ. logo

Hokkaido University Collection of Scholarly and Academic Papers >
Graduate School of Science / Faculty of Science >
Hokkaido University Preprint Series in Mathematics >

Twisted homology and cohomology groups associated to the Wirtinger integral

Files in This Item:
pre807.pdf104.92 kBPDFView/Open
Please use this identifier to cite or link to this item:http://doi.org/10.14943/83957

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
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

Submitter: 数学紀要登録作業用

Export metadata:

OAI-PMH ( junii2 , jpcoar )


 

Feedback - Hokkaido University