{"id":"https://openalex.org/W4390655049","doi":"https://doi.org/10.1080/10586458.2023.2300412","title":"Structures in HOMFLY-PT Homology","display_name":"Structures in HOMFLY-PT Homology","publication_year":2024,"publication_date":"2024-01-07","ids":{"openalex":"https://openalex.org/W4390655049","doi":"https://doi.org/10.1080/10586458.2023.2300412"},"language":"en","primary_location":{"id":"doi:10.1080/10586458.2023.2300412","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1080/10586458.2023.2300412","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":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5024920634","display_name":"Alex Chandler","orcid":"https://orcid.org/0000-0001-8243-4037"},"institutions":[{"id":"https://openalex.org/I84218800","display_name":"University of California, Davis","ror":"https://ror.org/05rrcem69","country_code":"US","type":"education","lineage":["https://openalex.org/I84218800"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Alex Chandler","raw_affiliation_strings":["Department of Mathematics, University of California, Davis, Davis, CA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of California, Davis, Davis, CA, USA","institution_ids":["https://openalex.org/I84218800"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5016443127","display_name":"Eugene Gorsky","orcid":"https://orcid.org/0000-0002-9572-4938"},"institutions":[{"id":"https://openalex.org/I84218800","display_name":"University of California, Davis","ror":"https://ror.org/05rrcem69","country_code":"US","type":"education","lineage":["https://openalex.org/I84218800"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Eugene Gorsky","raw_affiliation_strings":["Department of Mathematics, University of California, Davis, Davis, CA, USA"],"raw_orcid":"https://orcid.org/0000-0002-9572-4938","affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of California, Davis, Davis, CA, USA","institution_ids":["https://openalex.org/I84218800"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5016443127"],"corresponding_institution_ids":["https://openalex.org/I84218800"],"apc_list":null,"apc_paid":null,"fwci":0.9883,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.64935907,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"33","issue":"4","first_page":"817","last_page":"842"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10304","display_name":"Geometric and Algebraic Topology","score":0.9997000098228455,"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":0.9997000098228455,"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/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.9988999962806702,"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/T10287","display_name":"Algebraic structures and combinatorial models","score":0.994700014591217,"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/mathematics","display_name":"Mathematics","score":0.852256178855896},{"id":"https://openalex.org/keywords/khovanov-homology","display_name":"Khovanov homology","score":0.7327388525009155},{"id":"https://openalex.org/keywords/homology","display_name":"Homology (biology)","score":0.7141855955123901},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.624833345413208},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5499611496925354},{"id":"https://openalex.org/keywords/concordance","display_name":"Concordance","score":0.5358762741088867},{"id":"https://openalex.org/keywords/cellular-homology","display_name":"Cellular homology","score":0.43261343240737915},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3899232745170593},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.19138479232788086},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.056686848402023315},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.051666319370269775}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.852256178855896},{"id":"https://openalex.org/C158512270","wikidata":"https://www.wikidata.org/wiki/Q6402652","display_name":"Khovanov homology","level":3,"score":0.7327388525009155},{"id":"https://openalex.org/C165525559","wikidata":"https://www.wikidata.org/wiki/Q224180","display_name":"Homology (biology)","level":3,"score":0.7141855955123901},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.624833345413208},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5499611496925354},{"id":"https://openalex.org/C160798450","wikidata":"https://www.wikidata.org/wiki/Q4230870","display_name":"Concordance","level":2,"score":0.5358762741088867},{"id":"https://openalex.org/C55537702","wikidata":"https://www.wikidata.org/wiki/Q3139849","display_name":"Cellular homology","level":3,"score":0.43261343240737915},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3899232745170593},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.19138479232788086},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.056686848402023315},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.051666319370269775},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C60644358","wikidata":"https://www.wikidata.org/wiki/Q128570","display_name":"Bioinformatics","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/10586458.2023.2300412","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1080/10586458.2023.2300412","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4664006662","display_name":null,"funder_award_id":"DMS-1928930","funder_id":"https://openalex.org/F4320320373","funder_display_name":"National Stroke Foundation"},{"id":"https://openalex.org/G6971065150","display_name":null,"funder_award_id":"DMS-1760329","funder_id":"https://openalex.org/F4320320373","funder_display_name":"National Stroke Foundation"}],"funders":[{"id":"https://openalex.org/F4320320373","display_name":"National Stroke Foundation","ror":"https://ror.org/004ckc033"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W1506632523","https://openalex.org/W1527246633","https://openalex.org/W1825463415","https://openalex.org/W1946250928","https://openalex.org/W1958883231","https://openalex.org/W1965443691","https://openalex.org/W1981331759","https://openalex.org/W2003346656","https://openalex.org/W2009121033","https://openalex.org/W2014707291","https://openalex.org/W2022717511","https://openalex.org/W2027434280","https://openalex.org/W2082913574","https://openalex.org/W2087866453","https://openalex.org/W2291850217","https://openalex.org/W2775487915","https://openalex.org/W2959247933","https://openalex.org/W2963210788","https://openalex.org/W3098645605","https://openalex.org/W3099201153","https://openalex.org/W3102123241","https://openalex.org/W3102718270","https://openalex.org/W3116457440","https://openalex.org/W3121137978","https://openalex.org/W4226385301"],"related_works":["https://openalex.org/W2942801843","https://openalex.org/W2981543365","https://openalex.org/W3136546003","https://openalex.org/W2899057282","https://openalex.org/W4287610619","https://openalex.org/W1546257498","https://openalex.org/W3096989926","https://openalex.org/W2084005905","https://openalex.org/W4287637584","https://openalex.org/W3093604331"],"abstract_inverted_index":{"We":[0],"study":[1],"the":[2,11,26,31,41,48,54],"structure":[3],"of":[4],"triply":[5],"graded":[6],"Khovanov-Rozansky":[7],"homology":[8],"using":[9],"both":[10],"data":[12],"recently":[13],"computed":[14],"by":[15,30],"Nakagane":[16],"and":[17,25,35,50],"Sano":[18],"for":[19,44],"knots":[20,46],"up":[21],"to":[22,53],"11":[23],"crossings,":[24],"sl(2)":[27],"action":[28],"defined":[29],"second":[32],"author,":[33],"Hogancamp":[34],"Mellit.":[36],"In":[37],"particular,":[38],"we":[39],"compute":[40],"HOMFLY-PT":[42],"S-invariant":[43],"all":[45],"in":[47],"dataset,":[49],"compare":[51],"it":[52],"sl(N)":[55],"concordance":[56],"invariants.":[57]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2025-12-19T19:40:27.379048","created_date":"2025-10-10T00:00:00"}