THE FINITE GROUP ACTION AND THE EQUIVARIANT DETERMINANT OF ELLIPTIC OPERATORS III

Tsuboi, Kenji

doi:https://doi.org/10.18910/73627

THE FINITE GROUP ACTION AND THE EQUIVARIANT DETERMINANT OF ELLIPTIC OPERATORS III

Tsuboi, Kenji

Osaka Journal of Mathematics, 2019, 56(4), 759-785

アクセス数:205件（2025-07-19 11:29 集計）

固定URL: https://doi.org/10.18910/73627

閲覧可能ファイル

ファイル	フォーマット	利用条件	サイズ	閲覧回数	利用開始日	説明	information
ojm56_04_759	pdf	なし	224 KB	87	2019.11.27

論文情報

ファイル出力 EndNote Basic出力 Mendeley出力

タイトル	THE FINITE GROUP ACTION AND THE EQUIVARIANT DETERMINANT OF ELLIPTIC OPERATORS III
著者	NRID 1000050180047 1000050180047 著者名 Tsuboi, Kenji
抄録	Let M be an even-dimensional closed oriented manifold and g a periodic automorphism of M of order p. In this paper, under the assumption that the fixed points of g^k (1 ≤ k ≤ p − 1) are isolated, a calculation formula is provided for the homomorphism I_D : Z_p → R/Z defined in [6] for equivariant twisted signature operators D over M. The formula gives a new method to study the periodic automorphisms of oriented manifolds. As examples of the application of the formula, results about the existence of the cyclic group action for 2,4,6-dimensional closed oriented manifolds are obtained.
出版者	Osaka University and Osaka City University, Departments of Mathematics
収録物名	Osaka Journal of Mathematics
巻(号)	56(4)
ページ	759-785
刊行年月	2019-10
言語	英語
ハンドルURL	https://hdl.handle.net/11094/73627
DOI	https://doi.org/10.18910/73627
PISSN	00306126
NCID	AA00765910
アクセス権	open access
出版タイプ	Version of Record
カテゴリ	紀要論文 Departmental Bulletin Paper
カテゴリ	Osaka Journal of Mathematics / Volume 56, Number 4 （2019-10）

資源タイプ	紀要論文
ローカル資源タイプ	紀要論文
DCMI資源タイプ	text
DCTERMS.bibliographicCitation	Osaka Journal of Mathematics. 2019, 56(4), p. 759-785
DC.title	THE FINITE GROUP ACTION AND THE EQUIVARIANT DETERMINANT OF ELLIPTIC OPERATORS III
DC.creator	Tsuboi, Kenji
DC.publisher	Osaka University and Osaka City University, Departments of Mathematics
DC.language' scheme='DCTERMS.RFC1766	英語
DC.type' scheme='DCTERMS.DCMIType	text
DCTERMS.issued' scheme='DCTERMS.W3CDTF	2019-10
DCTERMS.abstract	Let M be an even-dimensional closed oriented manifold and g a periodic automorphism of M of order p. In this paper, under the assumption that the fixed points of g^k (1 ≤ k ≤ p − 1) are isolated, a calculation formula is provided for the homomorphism I_D : Z_p → R/Z defined in [6] for equivariant twisted signature operators D over M. The formula gives a new method to study the periodic automorphisms of oriented manifolds. As examples of the application of the formula, results about the existence of the cyclic group action for 2,4,6-dimensional closed oriented manifolds are obtained.
DC.identifier	10.18910/73627
DC.format	73627
citation_title	THE FINITE GROUP ACTION AND THE EQUIVARIANT DETERMINANT OF ELLIPTIC OPERATORS III
citation_author	Tsuboi, Kenji
citation_publisher	Osaka University and Osaka City University, Departments of Mathematics
citation_language	英語
citation_date	2019-10
citation_journal_title	Osaka Journal of Mathematics
citation_volume	56
citation_issue	4
citation_firstpage	759
citation_lastpage	785
citation_public_url	https://hdl.handle.net/11094/73627
citation_doi_detail	10.18910/73627
citation_doi	https://doi.org/10.18910/73627

THE FINITE GROUP ACTION AND THE EQUIVARIANT DETERMINANT OF ELLIPTIC OPERATORS III

閲覧可能ファイル

論文情報

論文詳細を表示