WEKO3
アイテム
{"_buckets": {"deposit": "c337c734-8c9e-4514-b5cf-8822364e167a"}, "_deposit": {"id": "40115", "owners": [], "pid": {"revision_id": 0, "type": "depid", "value": "40115"}, "status": "published"}, "_oai": {"id": "oai:repository.dl.itc.u-tokyo.ac.jp:00040115", "sets": ["6960", "6962"]}, "item_4_biblio_info_7": {"attribute_name": "書誌情報", "attribute_value_mlt": [{"bibliographicIssueDates": {"bibliographicIssueDate": "2006-12-27", "bibliographicIssueDateType": "Issued"}, "bibliographicIssueNumber": "3", "bibliographicPageEnd": "363", "bibliographicPageStart": "347", "bibliographicVolumeNumber": "13", "bibliographic_titles": [{"bibliographic_title": "Journal of mathematical sciences, the University of Tokyo"}]}]}, "item_4_description_13": {"attribute_name": "フォーマット", "attribute_value_mlt": [{"subitem_description": "application/pdf", "subitem_description_type": "Other"}]}, "item_4_description_5": {"attribute_name": "抄録", "attribute_value_mlt": [{"subitem_description": "Let $M$ be an oriented closed $4$-manifold with a spin$^c$ structure $\\cL$. In this paper we prove that under a suitable condition for $(M,\\cL)$ the Seiberg-Witten moduli space has a canonical spin structure and its spin bordism class is an invariant of $M$. We show that the invariant of $M=\\#_{j=1}^l M_j$ is non-trivial for some spin$^c$ structure when $l$ is $2$ or $3$ and each $M_j$ is a $K3$ surface or a product of two oriented closed surfaces of odd genus. As a corollary, we obtain the adjunction inequality for the $4$-manifold. Moreover we calculate the Yamabe invariant of $M \\# N_1$ for some negative definite $4$-manifold $N_1$. We also show that $M \\# N_2$ does not admit an Einstein metric for some negative definite $4$-manifold $N_2$.", "subitem_description_type": "Abstract"}]}, "item_4_publisher_20": {"attribute_name": "出版者", "attribute_value_mlt": [{"subitem_publisher": "Graduate School of Mathematical Sciences, The University of Tokyo"}]}, "item_4_source_id_10": {"attribute_name": "書誌レコードID", "attribute_value_mlt": [{"subitem_source_identifier": "AA11021653", "subitem_source_identifier_type": "NCID"}]}, "item_4_source_id_8": {"attribute_name": "ISSN", "attribute_value_mlt": [{"subitem_source_identifier": "13405705", "subitem_source_identifier_type": "ISSN"}]}, "item_4_subject_15": {"attribute_name": "日本十進分類法", "attribute_value_mlt": [{"subitem_subject": "415", "subitem_subject_scheme": "NDC"}]}, "item_4_text_16": {"attribute_name": "Mathematical Reviews Number", "attribute_value_mlt": [{"subitem_text_value": "MR2284407 (2007i:57027)"}]}, "item_4_text_17": {"attribute_name": "Mathmatical Subject Classification", "attribute_value_mlt": [{"subitem_text_value": "57R57(MSC2000)"}, {"subitem_text_value": "53C25(MSC2000)"}]}, "item_4_text_33": {"attribute_name": "原稿受領日", "attribute_value_mlt": [{"subitem_text_value": "2005-11-17"}]}, "item_4_text_34": {"attribute_name": "資源タイプ", "attribute_value_mlt": [{"subitem_text_value": "Departmental Bulletin Paper"}]}, "item_creator": {"attribute_name": "著者", "attribute_type": "creator", "attribute_value_mlt": [{"creatorNames": [{"creatorName": "Sasahira, Hirofumi"}], "nameIdentifiers": [{"nameIdentifier": "138692", "nameIdentifierScheme": "WEKO"}]}]}, "item_files": {"attribute_name": "ファイル情報", "attribute_type": "file", "attribute_value_mlt": [{"accessrole": "open_date", "date": [{"dateType": "Available", "dateValue": "2017-06-27"}], "displaytype": "detail", "download_preview_message": "", "file_order": 0, "filename": "jms130303.pdf", "filesize": [{"value": "175.1 kB"}], "format": "application/pdf", "future_date_message": "", "is_thumbnail": false, "licensetype": "license_free", "mimetype": "application/pdf", "size": 175100.0, "url": {"label": "jms130303.pdf", "url": "https://repository.dl.itc.u-tokyo.ac.jp/record/40115/files/jms130303.pdf"}, "version_id": "0cfdaf18-442b-4f65-b449-d2a4c2cad95f"}]}, "item_language": {"attribute_name": "言語", "attribute_value_mlt": [{"subitem_language": "eng"}]}, "item_resource_type": {"attribute_name": "資源タイプ", "attribute_value_mlt": [{"resourcetype": "departmental bulletin paper", "resourceuri": "http://purl.org/coar/resource_type/c_6501"}]}, "item_title": "Spin Structures on \\\\ Seiberg-Witten Moduli Spaces", "item_titles": {"attribute_name": "タイトル", "attribute_value_mlt": [{"subitem_title": "Spin Structures on \\\\ Seiberg-Witten Moduli Spaces"}]}, "item_type_id": "4", "owner": "1", "path": ["6960", "6962"], "permalink_uri": "http://hdl.handle.net/2261/8115", "pubdate": {"attribute_name": "公開日", "attribute_value": "2008-03-04"}, "publish_date": "2008-03-04", "publish_status": "0", "recid": "40115", "relation": {}, "relation_version_is_last": true, "title": ["Spin Structures on \\\\ Seiberg-Witten Moduli Spaces"], "weko_shared_id": null}
Spin Structures on \\ Seiberg-Witten Moduli Spaces
http://hdl.handle.net/2261/8115
http://hdl.handle.net/2261/811528b9c02c-b853-440c-bb25-632f282768dc
名前 / ファイル | ライセンス | アクション |
---|---|---|
jms130303.pdf (175.1 kB)
|
|
Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
---|---|---|---|---|---|---|
公開日 | 2008-03-04 | |||||
タイトル | ||||||
タイトル | Spin Structures on \\ Seiberg-Witten Moduli Spaces | |||||
言語 | ||||||
言語 | eng | |||||
資源タイプ | ||||||
資源 | http://purl.org/coar/resource_type/c_6501 | |||||
タイプ | departmental bulletin paper | |||||
著者 |
Sasahira, Hirofumi
× Sasahira, Hirofumi |
|||||
抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | Let $M$ be an oriented closed $4$-manifold with a spin$^c$ structure $\cL$. In this paper we prove that under a suitable condition for $(M,\cL)$ the Seiberg-Witten moduli space has a canonical spin structure and its spin bordism class is an invariant of $M$. We show that the invariant of $M=\#_{j=1}^l M_j$ is non-trivial for some spin$^c$ structure when $l$ is $2$ or $3$ and each $M_j$ is a $K3$ surface or a product of two oriented closed surfaces of odd genus. As a corollary, we obtain the adjunction inequality for the $4$-manifold. Moreover we calculate the Yamabe invariant of $M \# N_1$ for some negative definite $4$-manifold $N_1$. We also show that $M \# N_2$ does not admit an Einstein metric for some negative definite $4$-manifold $N_2$. | |||||
書誌情報 |
Journal of mathematical sciences, the University of Tokyo 巻 13, 号 3, p. 347-363, 発行日 2006-12-27 |
|||||
ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 13405705 | |||||
書誌レコードID | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | AA11021653 | |||||
フォーマット | ||||||
内容記述タイプ | Other | |||||
内容記述 | application/pdf | |||||
日本十進分類法 | ||||||
主題 | 415 | |||||
主題Scheme | NDC | |||||
Mathematical Reviews Number | ||||||
MR2284407 (2007i:57027) | ||||||
Mathmatical Subject Classification | ||||||
57R57(MSC2000) | ||||||
Mathmatical Subject Classification | ||||||
53C25(MSC2000) | ||||||
出版者 | ||||||
出版者 | Graduate School of Mathematical Sciences, The University of Tokyo | |||||
原稿受領日 | ||||||
2005-11-17 |