{"id":"https://openalex.org/W2580149728","doi":"https://doi.org/10.1080/10586458.2017.1320242","title":"Search for Torsion in Khovanov Homology","display_name":"Search for Torsion in Khovanov Homology","publication_year":2017,"publication_date":"2017-05-11","ids":{"openalex":"https://openalex.org/W2580149728","doi":"https://doi.org/10.1080/10586458.2017.1320242","mag":"2580149728"},"language":"en","primary_location":{"id":"doi:10.1080/10586458.2017.1320242","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10586458.2017.1320242","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/A5055636402","display_name":"Sujoy Mukherjee","orcid":"https://orcid.org/0000-0002-3319-6703"},"institutions":[{"id":"https://openalex.org/I193531525","display_name":"George Washington University","ror":"https://ror.org/00y4zzh67","country_code":"US","type":"education","lineage":["https://openalex.org/I193531525"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Sujoy Mukherjee","raw_affiliation_strings":["Department of Mathematics, The George Washington University, Washington, DC, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, The George Washington University, Washington, DC, USA","institution_ids":["https://openalex.org/I193531525"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5074798942","display_name":"J\u00f3zef H. Przytycki","orcid":"https://orcid.org/0000-0002-1600-8889"},"institutions":[{"id":"https://openalex.org/I40413290","display_name":"University of Gda\u0144sk","ror":"https://ror.org/011dv8m48","country_code":"PL","type":"education","lineage":["https://openalex.org/I40413290"]},{"id":"https://openalex.org/I193531525","display_name":"George Washington University","ror":"https://ror.org/00y4zzh67","country_code":"US","type":"education","lineage":["https://openalex.org/I193531525"]}],"countries":["PL","US"],"is_corresponding":false,"raw_author_name":"J\u00f3zef H. Przytycki","raw_affiliation_strings":["Department of Mathematics, The George Washington University, Washington, DC, USA","Department of Mathematics, University of Gda\u0144sk, Gda\u0144sk, Poland"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, The George Washington University, Washington, DC, USA","institution_ids":["https://openalex.org/I193531525"]},{"raw_affiliation_string":"Department of Mathematics, University of Gda\u0144sk, Gda\u0144sk, Poland","institution_ids":["https://openalex.org/I40413290"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058755150","display_name":"Marithania Silvero","orcid":"https://orcid.org/0000-0002-9786-0650"},"institutions":[{"id":"https://openalex.org/I4210137370","display_name":"Institute of Mathematics","ror":"https://ror.org/04hrrh248","country_code":"PL","type":"facility","lineage":["https://openalex.org/I4210137370","https://openalex.org/I99542240"]},{"id":"https://openalex.org/I99542240","display_name":"Polish Academy of Sciences","ror":"https://ror.org/01dr6c206","country_code":"PL","type":"funder","lineage":["https://openalex.org/I99542240"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Marithania Silvero","raw_affiliation_strings":["Institute of Mathematics of the Polish Academy of Sciences, Warsaw, Poland"],"affiliations":[{"raw_affiliation_string":"Institute of Mathematics of the Polish Academy of Sciences, Warsaw, Poland","institution_ids":["https://openalex.org/I4210137370","https://openalex.org/I99542240"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058060487","display_name":"Xiao Wang","orcid":"https://orcid.org/0000-0002-7354-5111"},"institutions":[{"id":"https://openalex.org/I193531525","display_name":"George Washington University","ror":"https://ror.org/00y4zzh67","country_code":"US","type":"education","lineage":["https://openalex.org/I193531525"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Xiao Wang","raw_affiliation_strings":["Department of Mathematics, The George Washington University, Washington, DC, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, The George Washington University, Washington, DC, USA","institution_ids":["https://openalex.org/I193531525"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5052475847","display_name":"Seung Yeop Yang","orcid":"https://orcid.org/0009-0009-8420-5196"},"institutions":[{"id":"https://openalex.org/I193531525","display_name":"George Washington University","ror":"https://ror.org/00y4zzh67","country_code":"US","type":"education","lineage":["https://openalex.org/I193531525"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Seung Yeop Yang","raw_affiliation_strings":["Department of Mathematics, The George Washington University, Washington, DC, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, The George Washington University, Washington, DC, USA","institution_ids":["https://openalex.org/I193531525"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5055636402"],"corresponding_institution_ids":["https://openalex.org/I193531525"],"apc_list":null,"apc_paid":null,"fwci":2.5226,"has_fulltext":false,"cited_by_count":16,"citation_normalized_percentile":{"value":0.88500852,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":99},"biblio":{"volume":"27","issue":"4","first_page":"488","last_page":"497"},"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/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.9812999963760376,"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/T11310","display_name":"Connective tissue disorders research","score":0.9041000008583069,"subfield":{"id":"https://openalex.org/subfields/1311","display_name":"Genetics"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/khovanov-homology","display_name":"Khovanov homology","score":0.8429385423660278},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7593827843666077},{"id":"https://openalex.org/keywords/torsion","display_name":"Torsion (gastropod)","score":0.7411260008811951},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.508773148059845},{"id":"https://openalex.org/keywords/counterexample","display_name":"Counterexample","score":0.5054159164428711},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.4920470416545868},{"id":"https://openalex.org/keywords/homology","display_name":"Homology (biology)","score":0.486592173576355},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3151402175426483},{"id":"https://openalex.org/keywords/amino-acid","display_name":"Amino acid","score":0.05960330367088318}],"concepts":[{"id":"https://openalex.org/C158512270","wikidata":"https://www.wikidata.org/wiki/Q6402652","display_name":"Khovanov homology","level":3,"score":0.8429385423660278},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7593827843666077},{"id":"https://openalex.org/C77461463","wikidata":"https://www.wikidata.org/wiki/Q7827201","display_name":"Torsion (gastropod)","level":2,"score":0.7411260008811951},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.508773148059845},{"id":"https://openalex.org/C162838799","wikidata":"https://www.wikidata.org/wiki/Q596077","display_name":"Counterexample","level":2,"score":0.5054159164428711},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.4920470416545868},{"id":"https://openalex.org/C165525559","wikidata":"https://www.wikidata.org/wiki/Q224180","display_name":"Homology (biology)","level":3,"score":0.486592173576355},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3151402175426483},{"id":"https://openalex.org/C515207424","wikidata":"https://www.wikidata.org/wiki/Q8066","display_name":"Amino acid","level":2,"score":0.05960330367088318},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C141071460","wikidata":"https://www.wikidata.org/wiki/Q40821","display_name":"Surgery","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"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:10.1080/10586458.2017.1320242","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10586458.2017.1320242","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":[],"funders":[{"id":"https://openalex.org/F4320306164","display_name":"Simons Foundation","ror":"https://ror.org/01cmst727"},{"id":"https://openalex.org/F4320320986","display_name":"University of the Sunshine Coast","ror":"https://ror.org/016gb9e15"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W1576630553","https://openalex.org/W1631891608","https://openalex.org/W1788923109","https://openalex.org/W1856726490","https://openalex.org/W1979560145","https://openalex.org/W1993067112","https://openalex.org/W1993687817","https://openalex.org/W2000566318","https://openalex.org/W2040642108","https://openalex.org/W2054032156","https://openalex.org/W2056954154","https://openalex.org/W2068801334","https://openalex.org/W2075257353","https://openalex.org/W2080025077","https://openalex.org/W2083234312","https://openalex.org/W2084005905","https://openalex.org/W2116774632","https://openalex.org/W2124345809","https://openalex.org/W2137459590","https://openalex.org/W2138044972","https://openalex.org/W2228969604","https://openalex.org/W2272300116","https://openalex.org/W2334232972","https://openalex.org/W2496681455","https://openalex.org/W2520392896","https://openalex.org/W2533361020","https://openalex.org/W2963363062","https://openalex.org/W2963553968","https://openalex.org/W2963710214","https://openalex.org/W3098106849","https://openalex.org/W3098587826","https://openalex.org/W3102128325","https://openalex.org/W3103722673","https://openalex.org/W4210852147"],"related_works":["https://openalex.org/W4309222106","https://openalex.org/W2012590989","https://openalex.org/W4385681624","https://openalex.org/W4240581084","https://openalex.org/W2952569802","https://openalex.org/W2049141591","https://openalex.org/W2950489642","https://openalex.org/W1734188852","https://openalex.org/W4297939726","https://openalex.org/W4298858221"],"abstract_inverted_index":{"In":[0,34],"the":[1,73],"Khovanov":[2,45,89,95],"homology":[3,46,90],"of":[4,7,16,18,42,72,83],"links,":[5],"presence":[6],"Z2-torsion":[8],"is":[9],"a":[10],"very":[11],"common":[12],"phenomenon.":[13],"Finite":[14],"number":[15],"examples":[17],"knots":[19,84],"with":[20,65,85],"Zn-torsion":[21,48],"for":[22,30,49,57],"n":[23,31,52],">":[24,32],"2":[25,50],"were":[26],"also":[27,78],"known,":[28],"none":[29],"8.":[33],"this":[35],"article,":[36],"we":[37],"present":[38],"several":[39],"infinite":[40,81],"families":[41],"links":[43,64],"whose":[44],"contains":[47],"<":[51,53,59],"9":[54],"and":[55,91],"Z2s-torsion":[56],"s":[58],"24.":[60],"We":[61,77],"introduce":[62],"4-braid":[63],"Z3-torsion":[66,92],"which":[67],"are":[68],"counterexamples":[69],"to":[70],"parts":[71],"PS":[74],"braid":[75],"conjecture.":[76],"provide":[79],"an":[80],"family":[82],"Z5-torsion":[86],"in":[87,93],"reduced":[88],"odd":[94],"homology.":[96]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":3},{"year":2018,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
