Twisted homology and cohomology groups associated to the Wirtinger integral

Watanabe, Humihiko

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

Permalink : https://doi.org/10.14943/83957

このアイテムのアクセス数:734件（2026-08-27 04:45 集計）

ファイル	フォーマット	サイズ	閲覧回数	説明
re807	pdf	104 KB	583

アクセス権	open access
DOI	https://doi.org/10.14943/83957
URI	https://hdl.handle.net/2115/69615
タイトル	Twisted homology and cohomology groups associated to the Wirtinger integral
著者	著者名 Watanabe, Humihiko
言語	英語
キーワード	Wirtinger integral
	theta function
	twisted homology group
	twisted cohomology group
	de Rham cohomology
発行日	2006
出版者	Department of Mathematics, Hokkaido University
収録物名	Hokkaido University Preprint Series in Mathematics
巻(号)	807
ページ	1-11
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).
資源タイプ	紀要論文
出版タイプ	Version of Record