{"created":"2025-02-21T03:59:49.793036+00:00","id":2007684,"links":{},"metadata":{"_buckets":{"deposit":"035d5c04-9fc6-46c0-aefb-391644a6229b"},"_deposit":{"created_by":41,"id":"2007684","owners":[41],"pid":{"revision_id":0,"type":"depid","value":"2007684"},"status":"published"},"_oai":{"id":"oai:hiroshima.repo.nii.ac.jp:02007684","sets":["1730444907710"]},"author_link":[],"item_1617186331708":{"attribute_name":"Title","attribute_value_mlt":[{"subitem_title":"Dehn surgeries on knots which yield lens spaces and genera of knots","subitem_title_language":"en"}]},"item_1617186419668":{"attribute_name":"Creator","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Goda, Hiroshi","creatorNameLang":"en"}],"familyNames":[{"familyName":"Goda","familyNameLang":"en"}],"givenNames":[{"givenName":"Hiroshi","givenNameLang":"en"}]},{"creatorNames":[{"creatorName":"Teragaito, Masakazu","creatorNameLang":"en"}],"familyNames":[{"familyName":"Teragaito","familyNameLang":"en"}],"givenNames":[{"givenName":"Masakazu","givenNameLang":"en"}]}]},"item_1617186476635":{"attribute_name":"Access Rights","attribute_value_mlt":[{"subitem_access_right":"open access","subitem_access_right_uri":"http://purl.org/coar/access_right/c_abf2"}]},"item_1617186499011":{"attribute_name":"Rights","attribute_value_mlt":[{"subitem_rights":"Copyright (c) 2000 Cambridge University Press"}]},"item_1617186609386":{"attribute_name":"Subject","attribute_value_mlt":[{"subitem_subject":"410","subitem_subject_scheme":"NDC"}]},"item_1617186626617":{"attribute_name":"Description","attribute_value_mlt":[{"subitem_description":"It is an interesting open question when Dehn surgery on a knot in the 3-sphere S3 can produce a lens space (see [10, 12]). Some studies have been made for special knots; in particular, the question is completely solved for torus knots [21] and satellite knots [3, 29, 31]. It is known that there are many examples of hyperbolic knots which admit Dehn surgeries yielding lens spaces. For example, Fintushel and Stern [8] have shown that 18- and 19-surgeries on the ([minus sign]2, 3, 7)-pretzel knot give lens spaces L(18, 5) and L(19, 7), respectively. However, there seems to be no essential progress on hyperbolic knots. It might be a reason that some famous classes of hyperbolic knots, such as 2-bridge knots [26], alternating knots [5], admit no surgery yielding lens spaces.In this paper we focus on the genera of knots to treat the present condition methodically and show that there is a constraint on the order of the fundamental group of the resulting lens space obtained by Dehn surgery on a hyperbolic knot. Also, this new standpoint enables us to present a conjecture concerning such a constraint, which holds for all known examples.","subitem_description_language":"en"}]},"item_1617186643794":{"attribute_name":"Publisher","attribute_value_mlt":[{"subitem_publisher":"Cambridge University Press"}]},"item_1617186702042":{"attribute_name":"Language","attribute_value_mlt":[{"subitem_language":"eng"}]},"item_1617186920753":{"attribute_name":"Source Identifier","attribute_value_mlt":[{"subitem_source_identifier":"0305-0041","subitem_source_identifier_type":"ISSN"}]},"item_1617187024783":{"attribute_name":"Page Start","attribute_value_mlt":[{"subitem_start_page":"501"}]},"item_1617187056579":{"attribute_name":"Bibliographic Information","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2000","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"3","bibliographicPageEnd":"515","bibliographicPageStart":"501","bibliographicVolumeNumber":"129","bibliographic_titles":[{"bibliographic_title":"Mathematical proceedings of the Cambridge Philosophical Society"},{"bibliographic_title":"Mathematical proceedings of the Cambridge Philosophical Society"}]}]},"item_1617258105262":{"attribute_name":"Resource Type","attribute_value_mlt":[{"resourcetype":"journal article","resourceuri":"http://purl.org/coar/resource_type/c_6501"}]},"item_1617265215918":{"attribute_name":"Version Type","attribute_value_mlt":[{"subitem_version_resource":"http://purl.org/coar/version/c_970fb48d4fbd8a85","subitem_version_type":"VoR"}]},"item_1617353299429":{"attribute_name":"Relation","attribute_value_mlt":[{"subitem_relation_type_id":{"subitem_relation_type_id_text":"10.1017/S0305004100004692","subitem_relation_type_select":"DOI"}},{"subitem_relation_type":"isVersionOf","subitem_relation_type_id":{"subitem_relation_type_id_text":"http://dx.doi.org/10.1017/S0305004100004692","subitem_relation_type_select":"DOI"}}]},"item_1617605131499":{"attribute_name":"File","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_access","date":[{"dateType":"Available","dateValue":"2023-03-18"}],"displaytype":"simple","filename":"Math-proc-Camb-Philos-Soc_129_3_501-515_2000.pdf","filesize":[{"value":"505.5 KB"}],"mimetype":"application/pdf","url":{"objectType":"fulltext","url":"https://hiroshima.repo.nii.ac.jp/record/2007684/files/Math-proc-Camb-Philos-Soc_129_3_501-515_2000.pdf"},"version_id":"308d29f8-2306-4227-a89b-d0a8ed2ea6b3"}]},"item_1732771732025":{"attribute_name":"旧ID","attribute_value":"14107"},"item_title":"Dehn surgeries on knots which yield lens spaces and genera of knots","item_type_id":"40003","owner":"41","path":["1730444907710"],"pubdate":{"attribute_name":"PubDate","attribute_value":"2023-03-18"},"publish_date":"2023-03-18","publish_status":"0","recid":"2007684","relation_version_is_last":true,"title":["Dehn surgeries on knots which yield lens spaces and genera of knots"],"weko_creator_id":"41","weko_shared_id":-1},"updated":"2025-02-21T10:45:07.351064+00:00"}