WEKO3
アイテム
{"_buckets": {"deposit": "8dc34c5d-3258-4b58-b087-0ec0b632dbaf"}, "_deposit": {"id": "40319", "owners": [], "pid": {"revision_id": 0, "type": "depid", "value": "40319"}, "status": "published"}, "_oai": {"id": "oai:repository.dl.itc.u-tokyo.ac.jp:00040319", "sets": ["7056", "7058"]}, "item_4_biblio_info_7": {"attribute_name": "書誌情報", "attribute_value_mlt": [{"bibliographicIssueDates": {"bibliographicIssueDate": "1996", "bibliographicIssueDateType": "Issued"}, "bibliographicIssueNumber": "3", "bibliographicPageEnd": "744", "bibliographicPageStart": "723", "bibliographicVolumeNumber": "3", "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 $M_n(K)$ be the hyperbolic 3-manifold obtained by $n$-cyclic covering of $S^3$ branched over a hyperbolic knot $K$. A method to compute the volume and the Chern-Simons invariant of $M_n(K)$ is given. The value of the volume of $M_n$ is $n$ times the value of the volume of the corresponding hyperbolic orbifold. This volume can be obtained by appying the Schlaffli Formula for the volume to the cone-manifold family, $(K,α )$, with singularity $K$. The same approch is followed for the Chern-Simons invariant, after proving a \"\"Schlaffli Formula\"\" for a generalized Chern-Simons function on the family of cone-manifold structures $(K,α )$.", "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": "MR1432115"}]}, "item_4_text_17": {"attribute_name": "Mathmatical Subject Classification", "attribute_value_mlt": [{"subitem_text_value": "57M50(MSC1991)"}, {"subitem_text_value": "51M10(MSC1991)"}, {"subitem_text_value": "51M25(MSC1991)"}]}, "item_4_text_33": {"attribute_name": "原稿受領日", "attribute_value_mlt": [{"subitem_text_value": "1996-04-08"}]}, "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": "Hilden, Hugh M."}], "nameIdentifiers": [{"nameIdentifier": "138916", "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": "jms030310.pdf", "filesize": [{"value": "185.8 kB"}], "format": "application/pdf", "future_date_message": "", "is_thumbnail": false, "licensetype": "license_free", "mimetype": "application/pdf", "size": 185800.0, "url": {"label": "jms030310.pdf", "url": "https://repository.dl.itc.u-tokyo.ac.jp/record/40319/files/jms030310.pdf"}, "version_id": "8b72dd7f-bb4b-448e-9ccf-8923ee4923d5"}]}, "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": "On Volumes and Chern-Simons Invariants of Geometric 3-Manifolds", "item_titles": {"attribute_name": "タイトル", "attribute_value_mlt": [{"subitem_title": "On Volumes and Chern-Simons Invariants of Geometric 3-Manifolds"}]}, "item_type_id": "4", "owner": "1", "path": ["7056", "7058"], "permalink_uri": "http://hdl.handle.net/2261/1377", "pubdate": {"attribute_name": "公開日", "attribute_value": "2008-03-04"}, "publish_date": "2008-03-04", "publish_status": "0", "recid": "40319", "relation": {}, "relation_version_is_last": true, "title": ["On Volumes and Chern-Simons Invariants of Geometric 3-Manifolds"], "weko_shared_id": null}
On Volumes and Chern-Simons Invariants of Geometric 3-Manifolds
http://hdl.handle.net/2261/1377
http://hdl.handle.net/2261/137704f221fd-556d-4283-941f-f6f98dd86638
名前 / ファイル | ライセンス | アクション |
---|---|---|
jms030310.pdf (185.8 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 | On Volumes and Chern-Simons Invariants of Geometric 3-Manifolds | |||||
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 |
Hilden, Hugh M.
× Hilden, Hugh M. |
|||||
抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | Let $M_n(K)$ be the hyperbolic 3-manifold obtained by $n$-cyclic covering of $S^3$ branched over a hyperbolic knot $K$. A method to compute the volume and the Chern-Simons invariant of $M_n(K)$ is given. The value of the volume of $M_n$ is $n$ times the value of the volume of the corresponding hyperbolic orbifold. This volume can be obtained by appying the Schlaffli Formula for the volume to the cone-manifold family, $(K,α )$, with singularity $K$. The same approch is followed for the Chern-Simons invariant, after proving a ""Schlaffli Formula"" for a generalized Chern-Simons function on the family of cone-manifold structures $(K,α )$. | |||||
書誌情報 |
Journal of mathematical sciences, the University of Tokyo 巻 3, 号 3, p. 723-744, 発行日 1996 |
|||||
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 | ||||||
MR1432115 | ||||||
Mathmatical Subject Classification | ||||||
57M50(MSC1991) | ||||||
Mathmatical Subject Classification | ||||||
51M10(MSC1991) | ||||||
Mathmatical Subject Classification | ||||||
51M25(MSC1991) | ||||||
出版者 | ||||||
出版者 | Graduate School of Mathematical Sciences, The University of Tokyo | |||||
原稿受領日 | ||||||
1996-04-08 |