{"id":"https://openalex.org/W3208165752","doi":"https://doi.org/10.2996/kmj/kmj44301","title":"Knots with infinitely many non-characterizing slopes","display_name":"Knots with infinitely many non-characterizing slopes","publication_year":2021,"publication_date":"2021-10-27","ids":{"openalex":"https://openalex.org/W3208165752","doi":"https://doi.org/10.2996/kmj/kmj44301","mag":"3208165752"},"language":"en","primary_location":{"id":"doi:10.2996/kmj/kmj44301","doi":"https://doi.org/10.2996/kmj/kmj44301","is_oa":false,"landing_page_url":"https://doi.org/10.2996/kmj/kmj44301","pdf_url":null,"source":{"id":"https://openalex.org/S10584360","display_name":"Kodai Mathematical Journal","issn_l":"0386-5991","issn":["0386-5991","1881-5472"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-b","jufo-1","norway-1","poland-40","russia-white-list-4"],"host_organization":"https://openalex.org/P4310313142","host_organization_name":"Tokyo Institute of Technology","host_organization_lineage":["https://openalex.org/P4310313142"],"host_organization_lineage_names":["Tokyo Institute of Technology"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Kodai Mathematical Journal","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2003.07163","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5039023516","display_name":"Tetsuya Abe","orcid":"https://orcid.org/0000-0002-0300-2293","observed_orcids":["https://orcid.org/0000-0002-0300-2293"]},"institutions":[{"id":"https://openalex.org/I135768898","display_name":"Ritsumeikan University","ror":"https://ror.org/0197nmd03","country_code":"JP","type":"education","lineage":["https://openalex.org/I135768898","https://openalex.org/I4390039241"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Tetsuya Abe","raw_affiliation_strings":["Department of Mathematical Sciences, Ritsumeikan University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Ritsumeikan University","institution_ids":["https://openalex.org/I135768898"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5055955365","display_name":"Keiji Tagami","orcid":"https://orcid.org/0000-0003-4623-6337","observed_orcids":["https://orcid.org/0000-0003-4623-6337"]},"institutions":[{"id":"https://openalex.org/I4210146532","display_name":"National Fisheries University","ror":"https://ror.org/04kkb3773","country_code":"JP","type":"education","lineage":["https://openalex.org/I4210146532"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Keiji Tagami","raw_affiliation_strings":["Department of Fisheries Distribution and Management, National Fisheries University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Fisheries Distribution and Management, National Fisheries University","institution_ids":["https://openalex.org/I4210146532"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.686,"has_fulltext":true,"cited_by_count":6,"citation_normalized_percentile":{"value":0.57413945,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":97},"biblio":{"volume":"44","issue":"3","first_page":"395","last_page":"421"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10304","display_name":"Geometric and Algebraic Topology","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10304","display_name":"Geometric and Algebraic Topology","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.0,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.0,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/knot-theory","display_name":"knot theory","score":0.40400001406669617}],"concepts":[{"id":"https://openalex.org/C150936888","wikidata":"https://www.wikidata.org/wiki/Q4769748","display_name":"Annulus (botany)","level":2,"score":0.9108620882034302},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8241071701049805},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4760149121284485},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.36340922117233276},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.32188451290130615},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C59822182","wikidata":"https://www.wikidata.org/wiki/Q441","display_name":"Botany","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.2996/kmj/kmj44301","doi":"https://doi.org/10.2996/kmj/kmj44301","is_oa":false,"landing_page_url":"https://doi.org/10.2996/kmj/kmj44301","pdf_url":null,"source":{"id":"https://openalex.org/S10584360","display_name":"Kodai Mathematical Journal","issn_l":"0386-5991","issn":["0386-5991","1881-5472"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-b","jufo-1","norway-1","poland-40","russia-white-list-4"],"host_organization":"https://openalex.org/P4310313142","host_organization_name":"Tokyo Institute of Technology","host_organization_lineage":["https://openalex.org/P4310313142"],"host_organization_lineage_names":["Tokyo Institute of Technology"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Kodai Mathematical Journal","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2003.07163","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2003.07163","pdf_url":"https://arxiv.org/pdf/2003.07163","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2003.07163","doi":"https://doi.org/10.48550/arxiv.2003.07163","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2003.07163","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2003.07163","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2003.07163","pdf_url":"https://arxiv.org/pdf/2003.07163","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G4095787299","display_name":"Study on the negativities of knots via open book decompositions of 3-manifolds","funder_award_id":"18K13416","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"}],"funders":[{"id":"https://openalex.org/F4320322443","display_name":"Okinawa Institute of Science and Technology Graduate University","ror":"https://ror.org/02qg15b79"},{"id":"https://openalex.org/F4320323289","display_name":"Ritsumeikan University","ror":"https://ror.org/0197nmd03"},{"id":"https://openalex.org/F4320334764","display_name":"Japan Society for the Promotion of Science","ror":"https://ror.org/00hhkn466"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3208165752.pdf","grobid_xml":"https://content.openalex.org/works/W3208165752.grobid-xml"},"referenced_works_count":28,"referenced_works":["https://openalex.org/W38880372","https://openalex.org/W92252332","https://openalex.org/W1964260254","https://openalex.org/W1975537778","https://openalex.org/W2013840997","https://openalex.org/W2033465689","https://openalex.org/W2064881550","https://openalex.org/W2087948860","https://openalex.org/W2105259910","https://openalex.org/W2123642523","https://openalex.org/W2128879141","https://openalex.org/W2137603783","https://openalex.org/W2161464125","https://openalex.org/W2228539546","https://openalex.org/W2468762483","https://openalex.org/W2530019365","https://openalex.org/W2575814329","https://openalex.org/W2609711522","https://openalex.org/W2726162159","https://openalex.org/W2884876066","https://openalex.org/W2962676379","https://openalex.org/W2963033189","https://openalex.org/W2964038386","https://openalex.org/W3005800418","https://openalex.org/W4212992863","https://openalex.org/W4229660376","https://openalex.org/W4403078392","https://openalex.org/W6606210388"],"related_works":["https://openalex.org/W4407349548","https://openalex.org/W2726162159","https://openalex.org/W4316650541","https://openalex.org/W4407302447","https://openalex.org/W4296933975","https://openalex.org/W4408177072","https://openalex.org/W4321331238","https://openalex.org/W4404399950","https://openalex.org/W2063783387","https://openalex.org/W2884876066"],"abstract_inverted_index":{"Using":[0],"the":[1,28,57],"techniques":[2],"on":[3],"annulus":[4,61,76],"twists,":[5],"we":[6,25,69],"observe":[7],"that":[8,27],"$6_3$":[9],"has":[10],"infinitely":[11,50],"many":[12,51],"non-characterizing":[13,52],"slopes,":[14],"which":[15,72],"affirmatively":[16],"answers":[17],"a":[18],"question":[19],"by":[20],"Baker":[21],"and":[22,47,63],"Motegi.":[23],"Furthermore,":[24],"prove":[26],"knots":[29,73],"$6_2$,":[30],"$6_3$,":[31],"$7_6$,":[32],"$7_7$,":[33],"$8_1$,":[34],"$8_3$,":[35],"$8_4$,":[36],"$8_6$,":[37],"$8_7$,":[38],"$8_9$,":[39],"$8_{10}$,":[40],"$8_{11}$,":[41],"$8_{12}$,":[42],"$8_{13}$,":[43],"$8_{14}$,":[44],"$8_{17}$,":[45],"$8_{20}$":[46],"$8_{21}$":[48],"have":[49,74],"slopes.":[53],"We":[54],"also":[55],"introduce":[56],"notion":[58],"of":[59],"trivial":[60],"twists":[62],"give":[64],"some":[65],"possible":[66],"applications.":[67],"Finally,":[68],"completely":[70],"determine":[71],"special":[75],"presentations":[77],"up":[78],"to":[79],"8-crossings.":[80]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1}],"updated_date":"2026-11-03T10:50:19.383937","created_date":"2021-11-08T00:00:00"}