{"id":"https://openalex.org/W2963310173","doi":"https://doi.org/10.1090/memo/0909","title":"Toroidal Dehn fillings on hyperbolic 3-manifolds","display_name":"Toroidal Dehn fillings on hyperbolic 3-manifolds","publication_year":2008,"publication_date":"2008-01-01","ids":{"openalex":"https://openalex.org/W2963310173","doi":"https://doi.org/10.1090/memo/0909","mag":"2963310173"},"language":"en","primary_location":{"id":"doi:10.1090/memo/0909","doi":"https://doi.org/10.1090/memo/0909","is_oa":true,"landing_page_url":"https://doi.org/10.1090/memo/0909","pdf_url":"https://www.ams.org/memo/0909/memo0909.pdf","source":{"id":"https://openalex.org/S104585175","display_name":"Memoirs of the American Mathematical Society","issn_l":"0065-9266","issn":["0065-9266","1947-6221"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-a","jufo-3","norway-2","poland-200","russia-white-list-1"],"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Memoirs of the American Mathematical Society","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.ams.org/memo/0909/memo0909.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5108904322","display_name":"Cameron McA. Gordon","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Cameron McA. Gordon","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5102534012","display_name":"Ying-Qing Wu","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ying-Qing Wu","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.4024,"has_fulltext":true,"cited_by_count":19,"citation_normalized_percentile":{"value":0.88660771,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"194","issue":"909","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10304","display_name":"Geometric and Algebraic Topology","score":0.9980000257492065,"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":0.9980000257492065,"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/T10229","display_name":"Geometric Analysis and Curvature Flows","score":9.999999747378752e-05,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/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/hyperbolic-3-manifolds","display_name":"hyperbolic 3-manifolds","score":0.9929999709129333},{"id":"https://openalex.org/keywords/dehn-surgery","display_name":"Dehn surgery","score":0.6930000185966492},{"id":"https://openalex.org/keywords/hyperbolic-knots","display_name":"hyperbolic knots","score":0.6019999980926514},{"id":"https://openalex.org/keywords/knot-classification","display_name":"knot classification","score":0.32499998807907104}],"concepts":[{"id":"https://openalex.org/C9767117","wikidata":"https://www.wikidata.org/wiki/Q12510","display_name":"Torus","level":2,"score":0.8580875396728516},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8315942883491516},{"id":"https://openalex.org/C15001198","wikidata":"https://www.wikidata.org/wiki/Q3241394","display_name":"Toroid","level":3,"score":0.8083583116531372},{"id":"https://openalex.org/C129671197","wikidata":"https://www.wikidata.org/wiki/Q5957770","display_name":"Hyperbolic 3-manifold","level":5,"score":0.6939252614974976},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.5758768320083618},{"id":"https://openalex.org/C70984080","wikidata":"https://www.wikidata.org/wiki/Q2619102","display_name":"Hyperbolic manifold","level":3,"score":0.517257034778595},{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.4934738874435425},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4674694538116455},{"id":"https://openalex.org/C167150821","wikidata":"https://www.wikidata.org/wiki/Q81194","display_name":"Hyperbolic group","level":4,"score":0.43843507766723633},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4132643938064575},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.38888657093048096},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.34655123949050903},{"id":"https://openalex.org/C92047909","wikidata":"https://www.wikidata.org/wiki/Q204034","display_name":"Hyperbolic function","level":2,"score":0.16002950072288513},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.15331989526748657},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C82706917","wikidata":"https://www.wikidata.org/wiki/Q10251","display_name":"Plasma","level":2,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1090/memo/0909","doi":"https://doi.org/10.1090/memo/0909","is_oa":true,"landing_page_url":"https://doi.org/10.1090/memo/0909","pdf_url":"https://www.ams.org/memo/0909/memo0909.pdf","source":{"id":"https://openalex.org/S104585175","display_name":"Memoirs of the American Mathematical Society","issn_l":"0065-9266","issn":["0065-9266","1947-6221"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-a","jufo-3","norway-2","poland-200","russia-white-list-1"],"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Memoirs of the American Mathematical Society","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:math/0512038","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/math/0512038","pdf_url":"https://arxiv.org/pdf/math/0512038","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":"pmh:oai:aleph.bib-bvb.de:BVB01-016556898","doi":null,"is_oa":false,"landing_page_url":"http://bvbr.bib-bvb.de:8991/F?func=service&amp;doc_library=BVB01&amp;local_base=BVB01&amp;doc_number=016556898&amp;sequence=000002&amp;line_number=0001&amp;func_code=DB_RECORDS&amp;service_type=MEDIA","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"doi:10.48550/arxiv.math/0512038","doi":"https://doi.org/10.48550/arxiv.math/0512038","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.math/0512038","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":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.1090/memo/0909","doi":"https://doi.org/10.1090/memo/0909","is_oa":true,"landing_page_url":"https://doi.org/10.1090/memo/0909","pdf_url":"https://www.ams.org/memo/0909/memo0909.pdf","source":{"id":"https://openalex.org/S104585175","display_name":"Memoirs of the American Mathematical Society","issn_l":"0065-9266","issn":["0065-9266","1947-6221"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-a","jufo-3","norway-2","poland-200","russia-white-list-1"],"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Memoirs of the American Mathematical Society","raw_type":"journal-article"},"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G5169534951","display_name":"3-dimensional manifolds and related topic","funder_award_id":"0305846","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6203335359","display_name":"Essential Surfaces and the Topology of 3-Manifolds","funder_award_id":"0203394","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2963310173.pdf","grobid_xml":"https://content.openalex.org/works/W2963310173.grobid-xml"},"referenced_works_count":26,"referenced_works":["https://openalex.org/W1490693353","https://openalex.org/W1548862334","https://openalex.org/W1603753957","https://openalex.org/W1813407139","https://openalex.org/W1924755001","https://openalex.org/W2019744979","https://openalex.org/W2023298528","https://openalex.org/W2026123202","https://openalex.org/W2036976496","https://openalex.org/W2048702502","https://openalex.org/W2048807698","https://openalex.org/W2050599174","https://openalex.org/W2055816852","https://openalex.org/W2062761763","https://openalex.org/W2068591306","https://openalex.org/W2076497203","https://openalex.org/W2080251443","https://openalex.org/W2082275364","https://openalex.org/W2088369612","https://openalex.org/W2102243461","https://openalex.org/W2131405559","https://openalex.org/W2332288949","https://openalex.org/W2607860119","https://openalex.org/W2963229760","https://openalex.org/W6600389942","https://openalex.org/W6727396974"],"related_works":["https://openalex.org/W303677643","https://openalex.org/W2622280211","https://openalex.org/W2023866887","https://openalex.org/W4302192524","https://openalex.org/W2067549982","https://openalex.org/W4301602756","https://openalex.org/W2149889673","https://openalex.org/W3033632861","https://openalex.org/W2963847473","https://openalex.org/W2154601863"],"abstract_inverted_index":{"We":[0],"determine":[1],"all":[2,112],"hyperbolic":[3,22,113],"3-manifolds":[4],"M":[5,19,47,50,58],"admitting":[6,118],"two":[7,34,119],"toroidal":[8,120],"Dehn":[9],"fillings":[10],"at":[11,124],"distance":[12,123],"4":[13,42],"or":[14,43,67,73],"5.We":[15],"show":[16,90],"that":[17,46,91],"if":[18],"is":[20,59],"a":[21,25,77,103,108],"3manifold":[23],"with":[24,38,122],"torus":[26,79],"boundary":[27],"component":[28],"T0,":[29],"and":[30,49,88],"r,":[31],"s":[32],"are":[33,86],"slopes":[35],"on":[36],"T0":[37],"\u2206(r,":[39],"s)":[40],"=":[41],"5":[44],"such":[45],"(r)":[48],"(s)":[51],"both":[52],"contain":[53],"an":[54],"essential":[55],"torus,":[56],"then":[57],"either":[60],"one":[61],"of":[62,111],"14":[63],"specific":[64],"manifolds":[65,84],"Mi,":[66],"obtained":[68],"from":[69],"M1,":[70],"M2,":[71],"M3":[72],"M14":[74],"by":[75],"attaching":[76],"solid":[78],"to":[80,107],"\u2202Mi":[81],"-T0.All":[82],"the":[83,93],"Mi":[85],"hyperbolic,":[87],"we":[89],"only":[92],"first":[94],"three":[95],"can":[96],"be":[97],"embedded":[98],"into":[99],"S":[100,116],"3":[101,117],".As":[102],"consequence,":[104],"this":[105],"leads":[106],"complete":[109],"classification":[110,130],"knots":[114],"in":[115],"surgeries":[121],"least":[125],"4.":[126],"0":[127],"Mathematics":[128],"subject":[129],"(1991):":[131],"Primary":[132],"57N10.":[133]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":2}],"updated_date":"2026-10-12T09:40:04.860316","created_date":"2025-10-10T00:00:00"}
