{"id":"https://openalex.org/W3204083803","doi":"https://doi.org/10.48550/arxiv.2109.14570","title":"Hyperbolic 3-manifolds of low cusp volume","display_name":"Hyperbolic 3-manifolds of low cusp volume","publication_year":2021,"publication_date":"2021-09-29","ids":{"openalex":"https://openalex.org/W3204083803","doi":"https://doi.org/10.48550/arxiv.2109.14570","mag":"3204083803"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2109.14570","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2109.14570","pdf_url":"https://arxiv.org/pdf/2109.14570","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"},"volume":null,"type":"preprint","indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2109.14570","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5036214587","display_name":"David Gabai","orcid":"https://orcid.org/0000-0003-1441-3263","observed_orcids":["https://orcid.org/0000-0003-1441-3263"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Gabai, David","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5040718447","display_name":"Robert C. Haraway","orcid":"https://orcid.org/0000-0002-0952-1393","observed_orcids":["https://orcid.org/0000-0002-0952-1393"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Haraway, Robert","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"Meyerhoff, Robert","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Meyerhoff, Robert","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5091460174","display_name":"Nathaniel Thurston","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Thurston, Nathaniel","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5005131052","display_name":"Andrew Yarmola","orcid":"https://orcid.org/0000-0003-2595-0232","observed_orcids":["https://orcid.org/0000-0003-2595-0232"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Yarmola, Andrew","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":null,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"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":0.9961000084877014,"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":0.9961000084877014,"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":0.0006000000284984708,"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/T11680","display_name":"Advanced Algebra and Geometry","score":0.00019999999494757503,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/hyperbolic-3-manifolds","display_name":"hyperbolic 3-manifolds","score":0.9990000128746033}],"concepts":[{"id":"https://openalex.org/C129671197","wikidata":"https://www.wikidata.org/wiki/Q5957770","display_name":"Hyperbolic 3-manifold","level":5,"score":0.8287150859832764},{"id":"https://openalex.org/C2778400075","wikidata":"https://www.wikidata.org/wiki/Q655275","display_name":"Cusp (singularity)","level":2,"score":0.8247026205062866},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7456657886505127},{"id":"https://openalex.org/C70984080","wikidata":"https://www.wikidata.org/wiki/Q2619102","display_name":"Hyperbolic manifold","level":3,"score":0.7237602472305298},{"id":"https://openalex.org/C112313634","wikidata":"https://www.wikidata.org/wiki/Q7886648","display_name":"Complement (music)","level":5,"score":0.5958051681518555},{"id":"https://openalex.org/C40020168","wikidata":"https://www.wikidata.org/wiki/Q7310818","display_name":"Relatively hyperbolic group","level":4,"score":0.5426251888275146},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5047940015792847},{"id":"https://openalex.org/C55862258","wikidata":"https://www.wikidata.org/wiki/Q1017238","display_name":"Hyperbolic coordinates","level":5,"score":0.4810664653778076},{"id":"https://openalex.org/C20556612","wikidata":"https://www.wikidata.org/wiki/Q4469374","display_name":"Volume (thermodynamics)","level":2,"score":0.4807679355144501},{"id":"https://openalex.org/C78231820","wikidata":"https://www.wikidata.org/wiki/Q2017498","display_name":"Knot complement","level":5,"score":0.47249045968055725},{"id":"https://openalex.org/C51691630","wikidata":"https://www.wikidata.org/wiki/Q3925833","display_name":"Hyperbolic equilibrium point","level":4,"score":0.45601820945739746},{"id":"https://openalex.org/C50429861","wikidata":"https://www.wikidata.org/wiki/Q3554830","display_name":"Stable manifold","level":2,"score":0.43814533948898315},{"id":"https://openalex.org/C167150821","wikidata":"https://www.wikidata.org/wiki/Q81194","display_name":"Hyperbolic group","level":4,"score":0.4225330352783203},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.39084088802337646},{"id":"https://openalex.org/C2779863119","wikidata":"https://www.wikidata.org/wiki/Q6423048","display_name":"Knot (papermaking)","level":2,"score":0.3619662821292877},{"id":"https://openalex.org/C92047909","wikidata":"https://www.wikidata.org/wiki/Q204034","display_name":"Hyperbolic function","level":2,"score":0.2938740849494934},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2501630485057831},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.13993483781814575},{"id":"https://openalex.org/C143330242","wikidata":"https://www.wikidata.org/wiki/Q849798","display_name":"Knot theory","level":3,"score":0.10889747738838196},{"id":"https://openalex.org/C58666742","wikidata":"https://www.wikidata.org/wiki/Q4421793","display_name":"Skein relation","level":4,"score":0.06962233781814575},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C127716648","wikidata":"https://www.wikidata.org/wiki/Q104053","display_name":"Phenotype","level":3,"score":0.0},{"id":"https://openalex.org/C188082640","wikidata":"https://www.wikidata.org/wiki/Q1780899","display_name":"Complementation","level":4,"score":0.0},{"id":"https://openalex.org/C42360764","wikidata":"https://www.wikidata.org/wiki/Q83588","display_name":"Chemical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2109.14570","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2109.14570","pdf_url":"https://arxiv.org/pdf/2109.14570","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.2109.14570","doi":"https://doi.org/10.48550/arxiv.2109.14570","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2109.14570","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2109.14570","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2109.14570","pdf_url":"https://arxiv.org/pdf/2109.14570","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":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":41,"referenced_works":["https://openalex.org/W119408704","https://openalex.org/W1490693353","https://openalex.org/W1494599013","https://openalex.org/W1505914796","https://openalex.org/W1568800247","https://openalex.org/W1581394461","https://openalex.org/W1591592191","https://openalex.org/W1597592613","https://openalex.org/W1815993476","https://openalex.org/W1964570497","https://openalex.org/W1970564715","https://openalex.org/W1970818908","https://openalex.org/W1978384175","https://openalex.org/W1998333557","https://openalex.org/W2004404843","https://openalex.org/W2007390369","https://openalex.org/W2016784563","https://openalex.org/W2019427703","https://openalex.org/W2025117083","https://openalex.org/W2027446154","https://openalex.org/W2033516545","https://openalex.org/W2036665761","https://openalex.org/W2042032503","https://openalex.org/W2048702502","https://openalex.org/W2053282530","https://openalex.org/W2062761763","https://openalex.org/W2089668258","https://openalex.org/W2096818260","https://openalex.org/W2114785528","https://openalex.org/W2140763236","https://openalex.org/W2144213143","https://openalex.org/W2153526343","https://openalex.org/W2154015635","https://openalex.org/W2561821807","https://openalex.org/W2592234186","https://openalex.org/W2783517220","https://openalex.org/W2801181994","https://openalex.org/W2899988844","https://openalex.org/W3081558141","https://openalex.org/W3099509585","https://openalex.org/W3104221525"],"related_works":["https://openalex.org/W7223565997","https://openalex.org/W2089135648","https://openalex.org/W2329589978","https://openalex.org/W4309288551","https://openalex.org/W2592234186","https://openalex.org/W4366732506","https://openalex.org/W1971850625","https://openalex.org/W2949067816","https://openalex.org/W2027446154","https://openalex.org/W2089668258"],"abstract_inverted_index":{"We":[0,15],"classify":[1],"the":[2,21,26,40,48],"complete":[3],"hyperbolic":[4,29,50,68],"3-manifolds":[5,51],"admitting":[6],"a":[7],"maximal":[8,55],"cusp":[9],"of":[10],"volume":[11,54,64],"at":[12],"most":[13],"2.62.":[14],"use":[16],"this":[17],"to":[18,37,58],"show":[19,38],"that":[20,39],"figure-8":[22,41],"knot":[23,42],"complement":[24,43],"is":[25],"unique":[27,49],"1-cusped":[28],"3-manifold":[30],"with":[31,52],"nine":[32],"or":[33],"more":[34],"non-hyperbolic":[35],"fillings;":[36],"and":[44,57,66],"its":[45],"sister":[46],"are":[47],"minimal":[53],"cusps;":[56],"extend":[59],"results":[60],"on":[61],"determining":[62],"low":[63],"closed":[65],"cusped":[67],"3-manifolds.":[69]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1}],"updated_date":"2026-09-29T14:09:16.559479","created_date":"2021-10-11T00:00:00"}