{"id":"https://openalex.org/W2255680524","doi":"https://doi.org/10.1080/10586458.2015.1068249","title":"Character Varieties For : The Figure Eight Knot","display_name":"Character Varieties For : The Figure Eight Knot","publication_year":2015,"publication_date":"2015-12-30","ids":{"openalex":"https://openalex.org/W2255680524","doi":"https://doi.org/10.1080/10586458.2015.1068249","mag":"2255680524"},"language":"en","primary_location":{"id":"doi:10.1080/10586458.2015.1068249","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10586458.2015.1068249","pdf_url":null,"source":{"id":"https://openalex.org/S119636414","display_name":"Experimental Mathematics","issn_l":"1058-6458","issn":["1058-6458","1944-950X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Experimental Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1412.4711","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5080750374","display_name":"Elisha Falbel","orcid":"https://orcid.org/0000-0003-3028-8925"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I3017942884","display_name":"Institut de Math\u00e9matiques de Jussieu-Paris Rive Gauche","ror":"https://ror.org/03fk87k11","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I204730241","https://openalex.org/I3017942884","https://openalex.org/I39804081","https://openalex.org/I4210141950"]},{"id":"https://openalex.org/I39804081","display_name":"Sorbonne Universit\u00e9","ror":"https://ror.org/02en5vm52","country_code":"FR","type":"education","lineage":["https://openalex.org/I39804081"]},{"id":"https://openalex.org/I4403386633","display_name":"OURAGAN: Outils de R\u00e9solution Alg\u00e9briques pour la G\u00e9om\u00e9trie et ses Applications","ror":"https://ror.org/01rrvyp50","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I204730241","https://openalex.org/I39804081","https://openalex.org/I4403386633"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"E. Falbel","raw_affiliation_strings":["Institut de Math\u00e9matiques de Jussieu-Paris Rive Gauche, UPMC-Sorbonne Universit\u00e9, CNRS UMR 7586 and INRIA EPI-OURAGAN, Paris, France","Institut de Math\u00e9matiques de Jussieu - Paris Rive Gauche","Universit\u00e9 Pierre et Marie Curie - Paris 6","OUtils de R\u00e9solution Alg\u00e9briques pour la G\u00e9om\u00e9trie et ses ApplicatioNs"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut de Math\u00e9matiques de Jussieu-Paris Rive Gauche, UPMC-Sorbonne Universit\u00e9, CNRS UMR 7586 and INRIA EPI-OURAGAN, Paris, France","institution_ids":["https://openalex.org/I39804081","https://openalex.org/I3017942884","https://openalex.org/I1294671590","https://openalex.org/I4403386633"]},{"raw_affiliation_string":"Institut de Math\u00e9matiques de Jussieu - Paris Rive Gauche","institution_ids":["https://openalex.org/I3017942884"]},{"raw_affiliation_string":"Universit\u00e9 Pierre et Marie Curie - Paris 6","institution_ids":["https://openalex.org/I39804081"]},{"raw_affiliation_string":"OUtils de R\u00e9solution Alg\u00e9briques pour la G\u00e9om\u00e9trie et ses ApplicatioNs","institution_ids":["https://openalex.org/I4403386633"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5042321163","display_name":"Antonin Guilloux","orcid":"https://orcid.org/0000-0002-5269-6017"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I3017942884","display_name":"Institut de Math\u00e9matiques de Jussieu-Paris Rive Gauche","ror":"https://ror.org/03fk87k11","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I204730241","https://openalex.org/I3017942884","https://openalex.org/I39804081","https://openalex.org/I4210141950"]},{"id":"https://openalex.org/I39804081","display_name":"Sorbonne Universit\u00e9","ror":"https://ror.org/02en5vm52","country_code":"FR","type":"education","lineage":["https://openalex.org/I39804081"]},{"id":"https://openalex.org/I4403386633","display_name":"OURAGAN: Outils de R\u00e9solution Alg\u00e9briques pour la G\u00e9om\u00e9trie et ses Applications","ror":"https://ror.org/01rrvyp50","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I204730241","https://openalex.org/I39804081","https://openalex.org/I4403386633"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"A. Guilloux","raw_affiliation_strings":["Institut de Math\u00e9matiques de Jussieu-Paris Rive Gauche, UPMC-Sorbonne Universit\u00e9, CNRS UMR 7586 and INRIA EPI-OURAGAN, Paris, France","Universit\u00e9 Pierre et Marie Curie - Paris 6","Institut de Math\u00e9matiques de Jussieu - Paris Rive Gauche","OUtils de R\u00e9solution Alg\u00e9briques pour la G\u00e9om\u00e9trie et ses ApplicatioNs"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut de Math\u00e9matiques de Jussieu-Paris Rive Gauche, UPMC-Sorbonne Universit\u00e9, CNRS UMR 7586 and INRIA EPI-OURAGAN, Paris, France","institution_ids":["https://openalex.org/I39804081","https://openalex.org/I3017942884","https://openalex.org/I1294671590","https://openalex.org/I4403386633"]},{"raw_affiliation_string":"Universit\u00e9 Pierre et Marie Curie - Paris 6","institution_ids":["https://openalex.org/I39804081"]},{"raw_affiliation_string":"Institut de Math\u00e9matiques de Jussieu - Paris Rive Gauche","institution_ids":["https://openalex.org/I3017942884"]},{"raw_affiliation_string":"OUtils de R\u00e9solution Alg\u00e9briques pour la G\u00e9om\u00e9trie et ses ApplicatioNs","institution_ids":["https://openalex.org/I4403386633"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5045100879","display_name":"Pierre-Vincent Koseleff","orcid":"https://orcid.org/0000-0003-0809-5019"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I3017942884","display_name":"Institut de Math\u00e9matiques de Jussieu-Paris Rive Gauche","ror":"https://ror.org/03fk87k11","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I204730241","https://openalex.org/I3017942884","https://openalex.org/I39804081","https://openalex.org/I4210141950"]},{"id":"https://openalex.org/I39804081","display_name":"Sorbonne Universit\u00e9","ror":"https://ror.org/02en5vm52","country_code":"FR","type":"education","lineage":["https://openalex.org/I39804081"]},{"id":"https://openalex.org/I4403386633","display_name":"OURAGAN: Outils de R\u00e9solution Alg\u00e9briques pour la G\u00e9om\u00e9trie et ses Applications","ror":"https://ror.org/01rrvyp50","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I204730241","https://openalex.org/I39804081","https://openalex.org/I4403386633"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"P.-V. Koseleff","raw_affiliation_strings":["Institut de Math\u00e9matiques de Jussieu-Paris Rive Gauche, UPMC-Sorbonne Universit\u00e9, CNRS UMR 7586 and INRIA EPI-OURAGAN, Paris, France","Institut de Math\u00e9matiques de Jussieu - Paris Rive Gauche","Universit\u00e9 Pierre et Marie Curie - Paris 6","OUtils de R\u00e9solution Alg\u00e9briques pour la G\u00e9om\u00e9trie et ses ApplicatioNs"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut de Math\u00e9matiques de Jussieu-Paris Rive Gauche, UPMC-Sorbonne Universit\u00e9, CNRS UMR 7586 and INRIA EPI-OURAGAN, Paris, France","institution_ids":["https://openalex.org/I39804081","https://openalex.org/I3017942884","https://openalex.org/I1294671590","https://openalex.org/I4403386633"]},{"raw_affiliation_string":"Institut de Math\u00e9matiques de Jussieu - Paris Rive Gauche","institution_ids":["https://openalex.org/I3017942884"]},{"raw_affiliation_string":"Universit\u00e9 Pierre et Marie Curie - Paris 6","institution_ids":["https://openalex.org/I39804081"]},{"raw_affiliation_string":"OUtils de R\u00e9solution Alg\u00e9briques pour la G\u00e9om\u00e9trie et ses ApplicatioNs","institution_ids":["https://openalex.org/I4403386633"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5016765679","display_name":"Fabrice Rouillier","orcid":"https://orcid.org/0009-0004-2972-822X"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I3017942884","display_name":"Institut de Math\u00e9matiques de Jussieu-Paris Rive Gauche","ror":"https://ror.org/03fk87k11","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I204730241","https://openalex.org/I3017942884","https://openalex.org/I39804081","https://openalex.org/I4210141950"]},{"id":"https://openalex.org/I39804081","display_name":"Sorbonne Universit\u00e9","ror":"https://ror.org/02en5vm52","country_code":"FR","type":"education","lineage":["https://openalex.org/I39804081"]},{"id":"https://openalex.org/I4403386633","display_name":"OURAGAN: Outils de R\u00e9solution Alg\u00e9briques pour la G\u00e9om\u00e9trie et ses Applications","ror":"https://ror.org/01rrvyp50","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I204730241","https://openalex.org/I39804081","https://openalex.org/I4403386633"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"F. Rouillier","raw_affiliation_strings":["Institut de Math\u00e9matiques de Jussieu-Paris Rive Gauche, UPMC-Sorbonne Universit\u00e9, CNRS UMR 7586 and INRIA EPI-OURAGAN, Paris, France","Universit\u00e9 Pierre et Marie Curie - Paris 6","Institut de Math\u00e9matiques de Jussieu - Paris Rive Gauche","OUtils de R\u00e9solution Alg\u00e9briques pour la G\u00e9om\u00e9trie et ses ApplicatioNs"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut de Math\u00e9matiques de Jussieu-Paris Rive Gauche, UPMC-Sorbonne Universit\u00e9, CNRS UMR 7586 and INRIA EPI-OURAGAN, Paris, France","institution_ids":["https://openalex.org/I39804081","https://openalex.org/I3017942884","https://openalex.org/I1294671590","https://openalex.org/I4403386633"]},{"raw_affiliation_string":"Universit\u00e9 Pierre et Marie Curie - Paris 6","institution_ids":["https://openalex.org/I39804081"]},{"raw_affiliation_string":"Institut de Math\u00e9matiques de Jussieu - Paris Rive Gauche","institution_ids":["https://openalex.org/I3017942884"]},{"raw_affiliation_string":"OUtils de R\u00e9solution Alg\u00e9briques pour la G\u00e9om\u00e9trie et ses ApplicatioNs","institution_ids":["https://openalex.org/I4403386633"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5029308543","display_name":"Morwen Thistlethwaite","orcid":"https://orcid.org/0000-0003-4890-0123"},"institutions":[{"id":"https://openalex.org/I75027704","display_name":"University of Tennessee at Knoxville","ror":"https://ror.org/020f3ap87","country_code":"US","type":"education","lineage":["https://openalex.org/I75027704"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"M. Thistlethwaite","raw_affiliation_strings":["Department of Mathematics, The University of Tennessee, Knoxville, TN, USA","The University of Tennessee [Knoxville]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, The University of Tennessee, Knoxville, TN, USA","institution_ids":["https://openalex.org/I75027704"]},{"raw_affiliation_string":"The University of Tennessee [Knoxville]","institution_ids":["https://openalex.org/I75027704"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5042321163"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I3017942884","https://openalex.org/I39804081","https://openalex.org/I4403386633"],"apc_list":null,"apc_paid":null,"fwci":5.2896,"has_fulltext":false,"cited_by_count":19,"citation_normalized_percentile":{"value":0.95905678,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"25","issue":"2","first_page":"219","last_page":"235"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10304","display_name":"Geometric and Algebraic Topology","score":0.9995999932289124,"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":0.9995999932289124,"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/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.989300012588501,"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/T10849","display_name":"Finite Group Theory Research","score":0.9617000222206116,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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":0.8806746006011963},{"id":"https://openalex.org/keywords/knot","display_name":"Knot (papermaking)","score":0.7106178998947144},{"id":"https://openalex.org/keywords/variety","display_name":"Variety (cybernetics)","score":0.5105951428413391},{"id":"https://openalex.org/keywords/torus","display_name":"Torus","score":0.5066230893135071},{"id":"https://openalex.org/keywords/character","display_name":"Character (mathematics)","score":0.49199625849723816},{"id":"https://openalex.org/keywords/knot-complement","display_name":"Knot complement","score":0.46565181016921997},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4313495457172394},{"id":"https://openalex.org/keywords/psl","display_name":"PSL","score":0.4275507628917694},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3426288962364197},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3139439523220062},{"id":"https://openalex.org/keywords/trefoil-knot","display_name":"Trefoil knot","score":0.2819331884384155},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.20971062779426575},{"id":"https://openalex.org/keywords/knot-theory","display_name":"Knot theory","score":0.20352938771247864}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8806746006011963},{"id":"https://openalex.org/C2779863119","wikidata":"https://www.wikidata.org/wiki/Q6423048","display_name":"Knot (papermaking)","level":2,"score":0.7106178998947144},{"id":"https://openalex.org/C136197465","wikidata":"https://www.wikidata.org/wiki/Q1729295","display_name":"Variety (cybernetics)","level":2,"score":0.5105951428413391},{"id":"https://openalex.org/C9767117","wikidata":"https://www.wikidata.org/wiki/Q12510","display_name":"Torus","level":2,"score":0.5066230893135071},{"id":"https://openalex.org/C2780861071","wikidata":"https://www.wikidata.org/wiki/Q1062934","display_name":"Character (mathematics)","level":2,"score":0.49199625849723816},{"id":"https://openalex.org/C78231820","wikidata":"https://www.wikidata.org/wiki/Q2017498","display_name":"Knot complement","level":5,"score":0.46565181016921997},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4313495457172394},{"id":"https://openalex.org/C10464949","wikidata":"https://www.wikidata.org/wiki/Q1914781","display_name":"PSL","level":2,"score":0.4275507628917694},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3426288962364197},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3139439523220062},{"id":"https://openalex.org/C19794929","wikidata":"https://www.wikidata.org/wiki/Q168620","display_name":"Trefoil knot","level":4,"score":0.2819331884384155},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.20971062779426575},{"id":"https://openalex.org/C143330242","wikidata":"https://www.wikidata.org/wiki/Q849798","display_name":"Knot theory","level":3,"score":0.20352938771247864},{"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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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":4,"locations":[{"id":"doi:10.1080/10586458.2015.1068249","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10586458.2015.1068249","pdf_url":null,"source":{"id":"https://openalex.org/S119636414","display_name":"Experimental Mathematics","issn_l":"1058-6458","issn":["1058-6458","1944-950X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Experimental Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1412.4711","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1412.4711","pdf_url":"https://arxiv.org/pdf/1412.4711","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":"","raw_type":"text"},{"id":"pmh:oai:HAL:hal-01362208v1","is_oa":false,"landing_page_url":"https://inria.hal.science/hal-01362208","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Experimental Mathematics, 2016, 25 (2), pp.17. &#x27E8;10.1080/10586458.2015.1068249&#x27E9;","raw_type":"Journal articles"},{"id":"doi:10.48550/arxiv.1412.4711","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1412.4711","pdf_url":null,"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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1412.4711","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1412.4711","pdf_url":"https://arxiv.org/pdf/1412.4711","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":"","raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W1484805206","https://openalex.org/W1507756111","https://openalex.org/W1521050514","https://openalex.org/W1708391131","https://openalex.org/W1805616173","https://openalex.org/W2009186345","https://openalex.org/W2056588117","https://openalex.org/W2141040012","https://openalex.org/W2146796680","https://openalex.org/W2165079976","https://openalex.org/W2312683364","https://openalex.org/W2314877085","https://openalex.org/W2781134521","https://openalex.org/W3037288887","https://openalex.org/W4250501683"],"related_works":["https://openalex.org/W1994449808","https://openalex.org/W3048967168","https://openalex.org/W2195059120","https://openalex.org/W3100057265","https://openalex.org/W2117671512","https://openalex.org/W2963074616","https://openalex.org/W4366551625","https://openalex.org/W2587645705","https://openalex.org/W2963691926","https://openalex.org/W2888157487"],"abstract_inverted_index":{"We":[0,28],"give":[1],"a":[2,30],"description":[3,31],"of":[4,8,12,15,32,35,43],"several":[5],"representation":[6,37],"varieties":[7],"the":[9,13,16,33,36,40,44],"fundamental":[10],"group":[11],"complement":[14],"figure":[17],"eight":[18],"knot":[19],"in":[20],"PGL":[21],"(3,":[22,26,49],"\u2102)":[23],"or":[24],"PSL":[25],"\u2102).":[27,50],"obtain":[29],"projection":[34],"variety":[38,42],"into":[39,47],"character":[41],"boundary":[45],"torus":[46],"SL":[48]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":1}],"updated_date":"2026-05-07T13:39:58.223016","created_date":"2016-06-24T00:00:00"}
