{"id":"https://openalex.org/W2952129404","doi":"https://doi.org/10.1080/10586458.2014.963746","title":"On Stable -Homology of Torus Knots","display_name":"On Stable -Homology of Torus Knots","publication_year":2015,"publication_date":"2015-04-03","ids":{"openalex":"https://openalex.org/W2952129404","doi":"https://doi.org/10.1080/10586458.2014.963746","mag":"2952129404"},"language":"en","primary_location":{"id":"doi:10.1080/10586458.2014.963746","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10586458.2014.963746","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,"listed_in":["cwts-core","jufo-1","norway-1"],"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547","https://openalex.org/P4310320449"],"host_organization_lineage_names":["Taylor & Francis","Informa"],"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/1404.0623","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5016443127","display_name":"Eugene Gorsky","orcid":"https://orcid.org/0000-0002-9572-4938","observed_orcids":["https://orcid.org/0000-0002-9572-4938"]},"institutions":[{"id":"https://openalex.org/I118501908","display_name":"National Research University Higher School of Economics","ror":"https://ror.org/055f7t516","country_code":"RU","type":"education","lineage":["https://openalex.org/I118501908"]},{"id":"https://openalex.org/I78577930","display_name":"Columbia University","ror":"https://ror.org/00hj8s172","country_code":"US","type":"education","lineage":["https://openalex.org/I78577930"]},{"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":["RU","US"],"is_corresponding":false,"raw_author_name":"Eugene Gorsky","raw_affiliation_strings":["Department of Mathematics, Columbia University, New York, New York, USA; Department of Mathematics, University of California Davis, Davis, California, USA; International Laboratory of Representation Theory and Mathematical Physics, National Research University Higher School of Economics, Moscow, Russia","Department of Mathematics, Columbia University, New York, New York, USA","Department of Mathematics, University of California Davis, Davis, California, USA","International Laboratory of Representation Theory and Mathematical Physics, National Research University Higher School of Economics, Moscow, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Columbia University, New York, New York, USA; Department of Mathematics, University of California Davis, Davis, California, USA; International Laboratory of Representation Theory and Mathematical Physics, National Research University Higher School of Economics, Moscow, Russia","institution_ids":["https://openalex.org/I118501908","https://openalex.org/I78577930","https://openalex.org/I84218800"]},{"raw_affiliation_string":"Department of Mathematics, Columbia University, New York, New York, USA","institution_ids":["https://openalex.org/I78577930"]},{"raw_affiliation_string":"Department of Mathematics, University of California Davis, Davis, California, USA","institution_ids":["https://openalex.org/I84218800"]},{"raw_affiliation_string":"International Laboratory of Representation Theory and Mathematical Physics, National Research University Higher School of Economics, Moscow, Russia","institution_ids":["https://openalex.org/I118501908"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5081407455","display_name":"Lukas Lewark","orcid":"https://orcid.org/0000-0002-1569-9219","observed_orcids":["https://orcid.org/0000-0002-1569-9219"]},"institutions":[{"id":"https://openalex.org/I190082696","display_name":"Durham University","ror":"https://ror.org/01v29qb04","country_code":"GB","type":"education","lineage":["https://openalex.org/I190082696"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Lukas Lewark","raw_affiliation_strings":["Department of Mathematical Sciences, Durham University, Durham, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Durham University, Durham, UK","institution_ids":["https://openalex.org/I190082696"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5081407455"],"corresponding_institution_ids":["https://openalex.org/I190082696"],"apc_list":null,"apc_paid":null,"fwci":2.7499,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.89890019,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":97},"biblio":{"volume":"24","issue":"2","first_page":"162","last_page":"174"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10304","display_name":"Geometric and Algebraic Topology","score":0.9829000234603882,"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":0.9829000234603882,"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":0.003800000064074993,"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":0.002899999963119626,"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/torus-knots","display_name":"torus knots","score":0.9990000128746033},{"id":"https://openalex.org/keywords/koszul-homology","display_name":"Koszul homology","score":0.9290000200271606},{"id":"https://openalex.org/keywords/torsion","display_name":"torsion","score":0.8209999799728394},{"id":"https://openalex.org/keywords/categorification","display_name":"categorification","score":0.6259999871253967}],"concepts":[{"id":"https://openalex.org/C158512270","wikidata":"https://www.wikidata.org/wiki/Q6402652","display_name":"Khovanov homology","level":3,"score":0.7978567481040955},{"id":"https://openalex.org/C55537702","wikidata":"https://www.wikidata.org/wiki/Q3139849","display_name":"Cellular homology","level":3,"score":0.7628535628318787},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7486528158187866},{"id":"https://openalex.org/C9767117","wikidata":"https://www.wikidata.org/wiki/Q12510","display_name":"Torus","level":2,"score":0.7457274198532104},{"id":"https://openalex.org/C165525559","wikidata":"https://www.wikidata.org/wiki/Q224180","display_name":"Homology (biology)","level":3,"score":0.716006875038147},{"id":"https://openalex.org/C121294916","wikidata":"https://www.wikidata.org/wiki/Q652525","display_name":"Floer homology","level":3,"score":0.6313292980194092},{"id":"https://openalex.org/C135783237","wikidata":"https://www.wikidata.org/wiki/Q3139850","display_name":"Morse homology","level":4,"score":0.62264084815979},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.557182788848877},{"id":"https://openalex.org/C201595698","wikidata":"https://www.wikidata.org/wiki/Q2421905","display_name":"Mayer\u2013Vietoris sequence","level":5,"score":0.5433689951896667},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.5134073495864868},{"id":"https://openalex.org/C79536532","wikidata":"https://www.wikidata.org/wiki/Q1959911","display_name":"Relative homology","level":3,"score":0.4957374036312103},{"id":"https://openalex.org/C77461463","wikidata":"https://www.wikidata.org/wiki/Q7827201","display_name":"Torsion (gastropod)","level":2,"score":0.4885607659816742},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.35869544744491577},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.25667184591293335},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.17126762866973877},{"id":"https://openalex.org/C78606066","wikidata":"https://www.wikidata.org/wiki/Q1198376","display_name":"Cohomology","level":2,"score":0.09514299035072327},{"id":"https://openalex.org/C515207424","wikidata":"https://www.wikidata.org/wiki/Q8066","display_name":"Amino acid","level":2,"score":0.055350273847579956},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.05049622058868408},{"id":"https://openalex.org/C105702510","wikidata":"https://www.wikidata.org/wiki/Q514","display_name":"Anatomy","level":1,"score":0.04500812292098999},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.044182658195495605},{"id":"https://openalex.org/C72738302","wikidata":"https://www.wikidata.org/wiki/Q5384738","display_name":"Equivariant cohomology","level":3,"score":0.0},{"id":"https://openalex.org/C68365058","wikidata":"https://www.wikidata.org/wiki/Q1179446","display_name":"De Rham cohomology","level":4,"score":0.0},{"id":"https://openalex.org/C168619227","wikidata":"https://www.wikidata.org/wiki/Q2190991","display_name":"Symplectic geometry","level":2,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1080/10586458.2014.963746","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10586458.2014.963746","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,"listed_in":["cwts-core","jufo-1","norway-1"],"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547","https://openalex.org/P4310320449"],"host_organization_lineage_names":["Taylor & Francis","Informa"],"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:1404.0623","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1404.0623","pdf_url":"https://arxiv.org/pdf/1404.0623","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":"pmh:oai:CiteSeerX.psu:10.1.1.751.3612","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.751.3612","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/1404.0623.pdf","raw_type":"text"},{"id":"pmh:oai:escholarship.org:ark:/13030/qt4v83d64t","is_oa":false,"landing_page_url":"https://escholarship.org/uc/item/4v83d64t","pdf_url":null,"source":{"id":"https://openalex.org/S4306400115","display_name":"eScholarship (California Digital Library)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I2801248553","host_organization_name":"California Digital Library","host_organization_lineage":["https://openalex.org/I2801248553"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Experimental Mathematics, vol 24, iss 2","raw_type":"article"},{"id":"doi:10.48550/arxiv.1404.0623","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1404.0623","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":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1404.0623","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1404.0623","pdf_url":"https://arxiv.org/pdf/1404.0623","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":[{"id":"https://openalex.org/G1604546613","display_name":null,"funder_award_id":"EP/K00591X/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320321079","display_name":"Russian Foundation for Basic Research","ror":"https://ror.org/02mh1ke95"},{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W1539343195","https://openalex.org/W1618578149","https://openalex.org/W1660279123","https://openalex.org/W1793617551","https://openalex.org/W1965443691","https://openalex.org/W1988573187","https://openalex.org/W2000566318","https://openalex.org/W2016307943","https://openalex.org/W2017926431","https://openalex.org/W2027434280","https://openalex.org/W2057376802","https://openalex.org/W2068801334","https://openalex.org/W2075257353","https://openalex.org/W2080025077","https://openalex.org/W2087866453","https://openalex.org/W2089023423","https://openalex.org/W2138044972","https://openalex.org/W2175098281","https://openalex.org/W2951690523","https://openalex.org/W2959247933","https://openalex.org/W2963363062","https://openalex.org/W2963553968","https://openalex.org/W3098974313","https://openalex.org/W3102718270","https://openalex.org/W3121137978"],"related_works":["https://openalex.org/W1596062687","https://openalex.org/W1989958518","https://openalex.org/W2002033874","https://openalex.org/W1774136040","https://openalex.org/W1979577861","https://openalex.org/W2950821698","https://openalex.org/W4298839579","https://openalex.org/W2951171887","https://openalex.org/W2952129404","https://openalex.org/W1979560145"],"abstract_inverted_index":{"The":[0],"stable":[1],"Khovanov\u2013":[2],"Rozansky":[3],"homology":[4,15],"of":[5,16,21,50],"torus":[6],"knots":[7,53],"has":[8],"been":[9],"conjecturally":[10],"described":[11],"as":[12],"the":[13,48],"Koszul":[14],"an":[17],"explicit":[18,42],"irregular":[19],"sequence":[20],"polynomials.":[22],"We":[23],"verify":[24],"this":[25],"conjecture":[26],"using":[27],"newly":[28],"available":[29],"computational":[30],"data":[31],"for":[32,47,54,72],"-homology.":[33],"Special":[34],"attention":[35],"is":[36],"paid":[37],"to":[38],"torsion.":[39],"In":[40],"addition,":[41],"conjectural":[43],"formulas":[44,69],"are":[45,60,70],"given":[46],"-homology":[49],"(3,":[51],"m)-torus":[52],"all":[55],"N":[56],"and":[57],"m,":[58],"which":[59],"motivated":[61],"by":[62],"higher":[63],"categorified":[64],"Jones\u2013Wenzl":[65],"projectors.":[66],"Structurally":[67],"similar":[68],"proven":[71],"Heegard\u2013Floer":[73],"homology.":[74]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2}],"updated_date":"2026-10-01T08:54:57.152042","created_date":"2019-06-27T00:00:00"}