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:203件（2025-07-03 17:03 集計）

固定URL: https://doi.org/10.18910/73627

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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

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