Generalised spin structures on 2-dimensional orbifolds

Geiges, Hansjörg; Pérez, Jesús Gonzalo

doi:https://doi.org/10.18910/4191

Generalised spin structures on 2-dimensional orbifolds

Geiges, Hansjörg; Pérez, Jesús Gonzalo

Osaka Journal of Mathematics, 2012, 49(2), 449-470

アクセス数:177件（2025-03-14 17:17 集計）

固定URL: https://doi.org/10.18910/4191

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タイトル	Generalised spin structures on 2-dimensional orbifolds
著者	著者名 Geiges, Hansjörg
著者	著者名 Pérez, Jesús Gonzalo
抄録	Generalised spin structures, or r -spin structures, on a 2-dimensional orbifold Σ are r -fold fibrewise connected coverings (also called r-th roots) of its unit tangent bundle ST6. We investigate such structures on hyperbolic orbifolds. The conditions on r for such structures to exist are given. The action of the diffeomorphism group of Σ on the set of r -spin structures is described, and we determine the number of orbits under this action and their size. These results are then applied to describe the moduli space of taut contact circles on left-quotients of the 3-dimensional geometry (SL2)~.
出版者	Osaka University and Osaka City University, Departments of Mathematics
収録物名	Osaka Journal of Mathematics
巻(号)	49(2)
ページ	449-470
刊行年月	2012-06
言語	英語
ハンドルURL	https://hdl.handle.net/11094/4191
DOI	https://doi.org/10.18910/4191
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 49, Number 2　(2012-6）

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. 2012, 49(2), p. 449-470
DC.title	Generalised spin structures on 2-dimensional orbifolds
DC.creator	Geiges, Hansjörg
DC.creator	Pérez, Jesús Gonzalo
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	2012-06
DCTERMS.abstract	Generalised spin structures, or r -spin structures, on a 2-dimensional orbifold Σ are r -fold fibrewise connected coverings (also called r-th roots) of its unit tangent bundle ST6. We investigate such structures on hyperbolic orbifolds. The conditions on r for such structures to exist are given. The action of the diffeomorphism group of Σ on the set of r -spin structures is described, and we determine the number of orbits under this action and their size. These results are then applied to describe the moduli space of taut contact circles on left-quotients of the 3-dimensional geometry (SL2)~.
DC.identifier	10.18910/4191
DC.format	4191
citation_title	Generalised spin structures on 2-dimensional orbifolds
citation_author	Geiges, Hansjörg
citation_author	Pérez, Jesús Gonzalo
citation_publisher	Osaka University and Osaka City University, Departments of Mathematics
citation_language	英語
citation_date	2012-06
citation_journal_title	Osaka Journal of Mathematics
citation_volume	49
citation_issue	2
citation_firstpage	449
citation_lastpage	470
citation_public_url	https://hdl.handle.net/11094/4191
citation_doi_detail	10.18910/4191
citation_doi	https://doi.org/10.18910/4191

Generalised spin structures on 2-dimensional orbifolds

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