HANDLE ATTACHING IN WRAPPED FLOER HOMOLOGY AND BRAKE ORBITS IN CLASSICAL HAMILTONIAN SYSTEMS

Irie, Kei

doi:https://doi.org/10.18910/25083

HANDLE ATTACHING IN WRAPPED FLOER HOMOLOGY AND BRAKE ORBITS IN CLASSICAL HAMILTONIAN SYSTEMS

Irie, Kei

Osaka Journal of Mathematics, 2013, 50(2), 363-396

アクセス数:118件（2025-04-25 15:00 集計）

固定URL: https://doi.org/10.18910/25083

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タイトル	HANDLE ATTACHING IN WRAPPED FLOER HOMOLOGY AND BRAKE ORBITS IN CLASSICAL HAMILTONIAN SYSTEMS
著者	NRID 1000090645467 1000090645467 著者名 Irie, Kei
抄録	The objective of this note is to prove an existence result for brake orbits in classical Hamiltonian systems (which was first proved by S.V. Bolotin) by using Floer theory. To this end, we compute an open string analogue of symplectic homology (so called wrapped Floer homology) of some domains in cotangent bundles, which appear naturally in the study of classical Hamiltonian systems. The main part of the computations is to show invariance of wrapped Floer homology under certain handle attaching to domains.
出版者	Osaka University and Osaka City University, Departments of Mathematics
収録物名	Osaka Journal of Mathematics
巻(号)	50(2)
ページ	363-396
刊行年月	2013-06
言語	英語
ハンドルURL	https://hdl.handle.net/11094/25083
DOI	https://doi.org/10.18910/25083
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 50, Number 2　(2013-6）

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. 2013, 50(2), p. 363-396
DC.title	HANDLE ATTACHING IN WRAPPED FLOER HOMOLOGY AND BRAKE ORBITS IN CLASSICAL HAMILTONIAN SYSTEMS
DC.creator	Irie, Kei
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	2013-06
DCTERMS.abstract	The objective of this note is to prove an existence result for brake orbits in classical Hamiltonian systems (which was first proved by S.V. Bolotin) by using Floer theory. To this end, we compute an open string analogue of symplectic homology (so called wrapped Floer homology) of some domains in cotangent bundles, which appear naturally in the study of classical Hamiltonian systems. The main part of the computations is to show invariance of wrapped Floer homology under certain handle attaching to domains.
DC.identifier	10.18910/25083
DC.format	25083
citation_title	HANDLE ATTACHING IN WRAPPED FLOER HOMOLOGY AND BRAKE ORBITS IN CLASSICAL HAMILTONIAN SYSTEMS
citation_author	Irie, Kei
citation_publisher	Osaka University and Osaka City University, Departments of Mathematics
citation_language	英語
citation_date	2013-06
citation_journal_title	Osaka Journal of Mathematics
citation_volume	50
citation_issue	2
citation_firstpage	363
citation_lastpage	396
citation_public_url	https://hdl.handle.net/11094/25083
citation_doi_detail	10.18910/25083
citation_doi	https://doi.org/10.18910/25083

HANDLE ATTACHING IN WRAPPED FLOER HOMOLOGY AND BRAKE ORBITS IN CLASSICAL HAMILTONIAN SYSTEMS

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