{"id":"https://openalex.org/W2563595144","doi":"https://doi.org/10.1080/10586458.2016.1255860","title":"The Links\u2013Gould Invariant as a Classical Generalization of the Alexander Polynomial?","display_name":"The Links\u2013Gould Invariant as a Classical Generalization of the Alexander Polynomial?","publication_year":2016,"publication_date":"2016-12-21","ids":{"openalex":"https://openalex.org/W2563595144","doi":"https://doi.org/10.1080/10586458.2016.1255860","mag":"2563595144"},"language":"en","primary_location":{"id":"doi:10.1080/10586458.2016.1255860","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10586458.2016.1255860","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"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2505.08296","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5035486488","display_name":"Ben-Michael Kohli","orcid":null},"institutions":[{"id":"https://openalex.org/I4210112333","display_name":"Institut de Math\u00e9matiques de Bourgogne","ror":"https://ror.org/021f0sa24","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I4210112333","https://openalex.org/I4407990431"]},{"id":"https://openalex.org/I4210118524","display_name":"Universit\u00e9 Bourgogne Franche-Comt\u00e9","ror":"https://ror.org/02dn7x778","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210118524"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Ben-Michael Kohli","raw_affiliation_strings":["Institut de Mathematiques de Bourgogne, Universit\u00e9 Bourgogne Franche-Comt\u00e9, Dijon, France"],"affiliations":[{"raw_affiliation_string":"Institut de Mathematiques de Bourgogne, Universit\u00e9 Bourgogne Franche-Comt\u00e9, Dijon, France","institution_ids":["https://openalex.org/I4210112333","https://openalex.org/I4210118524"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5035486488"],"corresponding_institution_ids":["https://openalex.org/I4210112333","https://openalex.org/I4210118524"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.17003773,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"27","issue":"3","first_page":"251","last_page":"264"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10304","display_name":"Geometric and Algebraic Topology","score":0.9998999834060669,"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":0.9998999834060669,"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/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9970999956130981,"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"}},{"id":"https://openalex.org/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.9926000237464905,"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/mathematics","display_name":"Mathematics","score":0.8666399121284485},{"id":"https://openalex.org/keywords/alexander-polynomial","display_name":"Alexander polynomial","score":0.8345659971237183},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.6827032566070557},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.655824601650238},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.6181919574737549},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.4847142696380615},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4501851797103882},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.419575035572052},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.36551398038864136},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.34003692865371704},{"id":"https://openalex.org/keywords/knot-theory","display_name":"Knot theory","score":0.1925230324268341},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.12057742476463318},{"id":"https://openalex.org/keywords/knot","display_name":"Knot (papermaking)","score":0.10416823625564575},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.08479097485542297}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8666399121284485},{"id":"https://openalex.org/C129946241","wikidata":"https://www.wikidata.org/wiki/Q1634206","display_name":"Alexander polynomial","level":4,"score":0.8345659971237183},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.6827032566070557},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.655824601650238},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.6181919574737549},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.4847142696380615},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4501851797103882},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.419575035572052},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.36551398038864136},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.34003692865371704},{"id":"https://openalex.org/C143330242","wikidata":"https://www.wikidata.org/wiki/Q849798","display_name":"Knot theory","level":3,"score":0.1925230324268341},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.12057742476463318},{"id":"https://openalex.org/C2779863119","wikidata":"https://www.wikidata.org/wiki/Q6423048","display_name":"Knot (papermaking)","level":2,"score":0.10416823625564575},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.08479097485542297},{"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/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1080/10586458.2016.1255860","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10586458.2016.1255860","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:2505.08296","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2505.08296","pdf_url":"https://arxiv.org/pdf/2505.08296","source":{"id":"https://openalex.org/S4393918464","display_name":"ArXiv.org","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:HAL:hal-01342901v1","is_oa":true,"landing_page_url":"https://hal.science/hal-01342901","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Experimental Mathematics, 2018, 27 (3), pp.251-264. &#x27E8;10.1080/10586458.2016.1255860&#x27E9;","raw_type":"Journal articles"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2505.08296","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2505.08296","pdf_url":"https://arxiv.org/pdf/2505.08296","source":{"id":"https://openalex.org/S4393918464","display_name":"ArXiv.org","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2563595144.pdf","grobid_xml":"https://content.openalex.org/works/W2563595144.grobid-xml"},"referenced_works_count":23,"referenced_works":["https://openalex.org/W623751791","https://openalex.org/W647229179","https://openalex.org/W1559862915","https://openalex.org/W1562735683","https://openalex.org/W1967125245","https://openalex.org/W1975104471","https://openalex.org/W1992591792","https://openalex.org/W2051979912","https://openalex.org/W2053383972","https://openalex.org/W2062417124","https://openalex.org/W2062466666","https://openalex.org/W2085072321","https://openalex.org/W2093088011","https://openalex.org/W2127734341","https://openalex.org/W2128333270","https://openalex.org/W2158731522","https://openalex.org/W2167104421","https://openalex.org/W2242374482","https://openalex.org/W2314799746","https://openalex.org/W2328943589","https://openalex.org/W2963900687","https://openalex.org/W2964096122","https://openalex.org/W4248649464"],"related_works":["https://openalex.org/W3162204513","https://openalex.org/W4300899577","https://openalex.org/W2371138613","https://openalex.org/W3194471551","https://openalex.org/W2048963458","https://openalex.org/W4375956809","https://openalex.org/W43109613","https://openalex.org/W4302778552","https://openalex.org/W1614821426","https://openalex.org/W2951258551"],"abstract_inverted_index":{"In":[0,27],"this":[1],"article,":[2],"we":[3,12],"conjecture":[4],"that":[5],"the":[6,18,37],"Links\u2013Gould":[7],"invariant":[8],"of":[9,17,23,39,48],"links,":[10],"which":[11],"know":[13],"is":[14],"a":[15,33,44],"generalization":[16],"Alexander\u2013Conway":[19],"polynomial,":[20],"shares":[21],"some":[22,52],"its":[24],"classical":[25],"features.":[26],"particular,":[28],"it":[29],"seems":[30],"to":[31,42],"give":[32,51],"lower":[34],"bound":[35],"for":[36,46,54],"genus":[38],"links":[40],"and":[41],"provide":[43],"criterion":[45],"fibredness":[47],"knots.":[49],"We":[50],"evidence":[53],"these":[55],"two":[56],"assumptions.":[57]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}
