{"created":"2023-05-15T15:23:32.622684+00:00","id":10402,"links":{},"metadata":{"_buckets":{"deposit":"a5599bc4-ccc3-4596-85b5-c2ecd0e8b50c"},"_deposit":{"created_by":15,"id":"10402","owners":[15],"pid":{"revision_id":0,"type":"depid","value":"10402"},"status":"published"},"_oai":{"id":"oai:sucra.repo.nii.ac.jp:00010402","sets":["94:429:431:432:508"]},"author_link":[],"item_113_alternative_title_1":{"attribute_name":"タイトル（別言語）","attribute_value_mlt":[{"subitem_alternative_title":"結び目と3次元多様体の有限型不変量の研究"}]},"item_113_biblio_info_9":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2016","bibliographicIssueDateType":"Issued"}}]},"item_113_date_35":{"attribute_name":"作成日","attribute_value_mlt":[{"subitem_date_issued_datetime":"2016-12-14","subitem_date_issued_type":"Created"}]},"item_113_date_granted_20":{"attribute_name":"学位授与年月日","attribute_value_mlt":[{"subitem_dategranted":"2016-03-24"}]},"item_113_degree_grantor_22":{"attribute_name":"学位授与機関","attribute_value_mlt":[{"subitem_degreegrantor":[{"subitem_degreegrantor_name":"埼玉大学"}],"subitem_degreegrantor_identifier":[{"subitem_degreegrantor_identifier_name":"12401","subitem_degreegrantor_identifier_scheme":"kakenhi"}]}]},"item_113_degree_name_21":{"attribute_name":"学位名","attribute_value_mlt":[{"subitem_degreename":"博士(理学)"}]},"item_113_description_13":{"attribute_name":"形態","attribute_value_mlt":[{"subitem_description":"44 p.","subitem_description_type":"Other"}]},"item_113_description_24":{"attribute_name":"目次","attribute_value_mlt":[{"subitem_description":"1 Introduction 2\n2 Preliminaries 4\n2.1 Knots and their diagrams . . . . . . . . . . . . . . . . . . . . . . 4\n2.2 Quantum invariants . . . . . . . . . . . . . . . . . . . . . . . . . 7\n2.3 Vassiliev invariants (Finite type invariants). . . . . . . . . . . . . 9\n2.4 Quandle (shadow) cocycle invariants . . . . . . . . . . . . . . . . 12\n2.5 Heegaard splitting . . . . . . . . . . . . . . . . . . . . . . . . . . 15\n2.6 Dijkgraaf-Witten invariants . . . . . . . . . . . . . . . . . . . . . 16\n2.7 Lens space . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17\n3 On Vassiliev invariants of degrees 2 and 3 for torus knots 17\n3.1 Primitive Vassiliev invariants and torus knots . . . . . . . . . . . 18\n3.2 Results of this section . . . . . . . . . . . . . . . . . . . . . . . . 19\n4 Definition of quasi finite type invariants and finite type invariants of some 3-manifolds 22\n4.1 Quasi finite type invariants . . . . . . . . . . . . . . . . . . . . . 24\n4.2 Finite type invariants of some 3-manifolds of double branched covering of links. . . . . . . . . . . . . . . . . . . . . . . . . . . . 26\n5 Relations between quandle shadow cocycle invariants and finite type invariants 30\n5.1 Main theorems and Proofs of quandle 2-cocycle invariants version 31\n5.2 Main theorem and Proof of quandle shadow 3-cocycle invariants version . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33\n6 Appendix 33","subitem_description_type":"Other"}]},"item_113_description_25":{"attribute_name":"注記","attribute_value_mlt":[{"subitem_description":"指導教員 : 下川航也","subitem_description_type":"Other"}]},"item_113_description_33":{"attribute_name":"資源タイプ","attribute_value_mlt":[{"subitem_description":"text","subitem_description_type":"Other"}]},"item_113_description_34":{"attribute_name":"フォーマット","attribute_value_mlt":[{"subitem_description":"application/pdf","subitem_description_type":"Other"}]},"item_113_dissertation_number_19":{"attribute_name":"学位授与番号","attribute_value_mlt":[{"subitem_dissertationnumber":"甲第1015号"}]},"item_113_identifier_registration":{"attribute_name":"ID登録","attribute_value_mlt":[{"subitem_identifier_reg_text":"10.24561/00010396","subitem_identifier_reg_type":"JaLC"}]},"item_113_publisher_11":{"attribute_name":"出版者名","attribute_value_mlt":[{"subitem_publisher":"埼玉大学大学院理工学研究科"}]},"item_113_publisher_12":{"attribute_name":"出版者名（別言語）","attribute_value_mlt":[{"subitem_publisher":"Graduate School of Science and Engineering, Saitama 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