{"id":"https://openalex.org/W2104948016","doi":"https://doi.org/10.1112/jlms/jdq106","title":"A finiteness theorem for hyperbolic 3-manifolds","display_name":"A finiteness theorem for hyperbolic 3-manifolds","publication_year":2011,"publication_date":"2011-05-26","ids":{"openalex":"https://openalex.org/W2104948016","doi":"https://doi.org/10.1112/jlms/jdq106","mag":"2104948016"},"language":"en","primary_location":{"id":"doi:10.1112/jlms/jdq106","is_oa":false,"landing_page_url":"https://doi.org/10.1112/jlms/jdq106","pdf_url":null,"source":{"id":"https://openalex.org/S4210207695","display_name":"Journal of the London Mathematical Society","issn_l":"0024-6107","issn":["0024-6107","1469-7750"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the London Mathematical Society","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/0901.0300","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5011226645","display_name":"Ian Biringer","orcid":"https://orcid.org/0000-0001-8591-5493"},"institutions":[{"id":"https://openalex.org/I32971472","display_name":"Yale University","ror":"https://ror.org/03v76x132","country_code":"US","type":"education","lineage":["https://openalex.org/I32971472"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Ian Biringer","raw_affiliation_strings":["Yale University, Department of Mathematics, PO Box 208283, New Haven, CT 06520-8283, USA","Yale UniversityDepartment of MathematicsPO Box 208283New Haven, CT 06520-8283USA"],"affiliations":[{"raw_affiliation_string":"Yale University, Department of Mathematics, PO Box 208283, New Haven, CT 06520-8283, USA","institution_ids":["https://openalex.org/I32971472"]},{"raw_affiliation_string":"Yale UniversityDepartment of MathematicsPO Box 208283New Haven, CT 06520-8283USA","institution_ids":["https://openalex.org/I32971472"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5005398509","display_name":"Juan Souto","orcid":"https://orcid.org/0000-0002-3437-1577"},"institutions":[{"id":"https://openalex.org/I27837315","display_name":"University of Michigan\u2013Ann Arbor","ror":"https://ror.org/00jmfr291","country_code":"US","type":"education","lineage":["https://openalex.org/I27837315"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Juan Souto","raw_affiliation_strings":["University of Michigan, Department of Mathematics, 2074 East Hall, 530 Church Street, Ann Arbor, MI 48109-1043, USA","University of MichiganDepartment of Mathematics2074 East Hall530 Church StreetAnn Arbor, MI 48109-1043USA"],"affiliations":[{"raw_affiliation_string":"University of Michigan, Department of Mathematics, 2074 East Hall, 530 Church Street, Ann Arbor, MI 48109-1043, USA","institution_ids":["https://openalex.org/I27837315"]},{"raw_affiliation_string":"University of MichiganDepartment of Mathematics2074 East Hall530 Church StreetAnn Arbor, MI 48109-1043USA","institution_ids":["https://openalex.org/I27837315"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5011226645"],"corresponding_institution_ids":["https://openalex.org/I32971472"],"apc_list":{"value":3710,"currency":"USD","value_usd":3710},"apc_paid":null,"fwci":2.2567,"has_fulltext":true,"cited_by_count":13,"citation_normalized_percentile":{"value":0.87847777,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"84","issue":"1","first_page":"227","last_page":"242"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10304","display_name":"Geometric and Algebraic Topology","score":0.9998000264167786,"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":0.9998000264167786,"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/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9975000023841858,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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":0.9919000267982483,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.600016713142395},{"id":"https://openalex.org/keywords/hyperbolic-manifold","display_name":"Hyperbolic manifold","score":0.577560305595398},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.508049488067627},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.24567058682441711},{"id":"https://openalex.org/keywords/hyperbolic-function","display_name":"Hyperbolic function","score":0.1380956470966339}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.600016713142395},{"id":"https://openalex.org/C70984080","wikidata":"https://www.wikidata.org/wiki/Q2619102","display_name":"Hyperbolic manifold","level":3,"score":0.577560305595398},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.508049488067627},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.24567058682441711},{"id":"https://openalex.org/C92047909","wikidata":"https://www.wikidata.org/wiki/Q204034","display_name":"Hyperbolic function","level":2,"score":0.1380956470966339}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1112/jlms/jdq106","is_oa":false,"landing_page_url":"https://doi.org/10.1112/jlms/jdq106","pdf_url":null,"source":{"id":"https://openalex.org/S4210207695","display_name":"Journal of the London Mathematical Society","issn_l":"0024-6107","issn":["0024-6107","1469-7750"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the London Mathematical Society","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:0901.0300","is_oa":true,"landing_page_url":"http://arxiv.org/abs/0901.0300","pdf_url":"https://arxiv.org/pdf/0901.0300","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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:deepblue.lib.umich.edu:2027.42/135341","is_oa":true,"landing_page_url":"https://hdl.handle.net/2027.42/135341","pdf_url":"https://hdl.handle.net/2027.42/135341","source":{"id":"https://openalex.org/S4306400393","display_name":"Deep Blue (University of Michigan)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I27837315","host_organization_name":"University of Michigan","host_organization_lineage":["https://openalex.org/I27837315"],"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":"Article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.243.6143","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.243.6143","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/0901.0300v1.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.990.2355","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.990.2355","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://users.math.yale.edu/%7Eib93/finthms.pdf","raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:0901.0300","is_oa":true,"landing_page_url":"http://arxiv.org/abs/0901.0300","pdf_url":"https://arxiv.org/pdf/0901.0300","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":[],"awards":[{"id":"https://openalex.org/G2555565950","display_name":null,"funder_award_id":"DMS-0902991","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6542177353","display_name":"PostDoctoral Research Fellowship","funder_award_id":"0902991","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G974814537","display_name":"3 Dimensional Geometry, Heegaard Splittings and Rank of the Fundamental Group","funder_award_id":"0706878","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"},{"id":"https://openalex.org/F4320306151","display_name":"Alfred P. Sloan Foundation","ror":"https://ror.org/052csg198"},{"id":"https://openalex.org/F4320322755","display_name":"Universidad Aut\u00f3noma de Madrid","ror":"https://ror.org/01cby8j38"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W100944330","https://openalex.org/W1488092040","https://openalex.org/W1494599013","https://openalex.org/W1518824415","https://openalex.org/W1557210002","https://openalex.org/W1567771969","https://openalex.org/W1568953172","https://openalex.org/W1589310148","https://openalex.org/W1597806979","https://openalex.org/W1662657518","https://openalex.org/W1984016862","https://openalex.org/W2014951524","https://openalex.org/W2026429431","https://openalex.org/W2053620893","https://openalex.org/W2064183943","https://openalex.org/W2072112282","https://openalex.org/W2074882953","https://openalex.org/W2084633334","https://openalex.org/W2106859804","https://openalex.org/W2116170178","https://openalex.org/W2119776512","https://openalex.org/W2149889673","https://openalex.org/W2964305144","https://openalex.org/W4212990000","https://openalex.org/W4255547324","https://openalex.org/W4300056077"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W2600246793","https://openalex.org/W4300084189"],"abstract_inverted_index":{"We":[0],"prove":[1],"that":[2],"there":[3],"are":[4],"only":[5],"finitely":[6],"many":[7],"closed":[8],"hyperbolic":[9],"3-manifolds":[10],"with":[11],"injectivity":[12],"radius":[13],"and":[14],"first":[15],"eigenvalue":[16],"of":[17,25,34],"the":[18,22],"Laplacian":[19],"bounded":[20],"below":[21],"fundamental":[23],"groups":[24],"which":[26],"can":[27],"be":[28],"generated":[29],"by":[30],"a":[31],"given":[32],"number":[33],"elements.":[35],"Our":[36],"techniques":[37],"also":[38],"have":[39],"particular":[40],"application":[41],"to":[42],"arithmetic":[43],"manifolds.":[44]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":2}],"updated_date":"2026-04-21T08:09:41.155169","created_date":"2025-10-10T00:00:00"}