{"id":"https://openalex.org/W7204871515","doi":"https://doi.org/10.48550/arxiv.2608.29747","title":"Reduced Khovanov-Rozansky homology","display_name":"Reduced Khovanov-Rozansky homology","publication_year":2026,"publication_date":"2026-08-30","ids":{"openalex":"https://openalex.org/W7204871515","doi":"https://doi.org/10.48550/arxiv.2608.29747"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2608.29747","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.29747","pdf_url":"https://arxiv.org/pdf/2608.29747","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"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2608.29747","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5033654188","display_name":"David Popovi\u0107","orcid":"https://orcid.org/0000-0002-2931-0403","observed_orcids":["https://orcid.org/0000-0002-2931-0403"]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Popovi\u0107, David","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5033654188"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10304","display_name":"Geometric and Algebraic Topology","score":0.9726999998092651,"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":0.9726999998092651,"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/T10287","display_name":"Algebraic structures and combinatorial models","score":0.008100000210106373,"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":0.004900000058114529,"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/khovanov-homology","display_name":"Khovanov homology","score":0.8399999737739563},{"id":"https://openalex.org/keywords/free-resolutions","display_name":"free resolutions","score":0.7910000085830688},{"id":"https://openalex.org/keywords/knot-invariants","display_name":"knot invariants","score":0.8230000138282776}],"concepts":[{"id":"https://openalex.org/C165525559","wikidata":"https://www.wikidata.org/wiki/Q224180","display_name":"Homology (biology)","level":3,"score":0.47290000319480896},{"id":"https://openalex.org/C199185054","wikidata":"https://www.wikidata.org/wiki/Q552299","display_name":"Chain (unit)","level":2,"score":0.40860000252723694},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.40709999203681946},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3961000144481659},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3061999976634979},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.30239999294281006},{"id":"https://openalex.org/C2779315201","wikidata":"https://www.wikidata.org/wiki/Q414601","display_name":"Sequence homology","level":4,"score":0.28690001368522644},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.28679999709129333},{"id":"https://openalex.org/C70721500","wikidata":"https://www.wikidata.org/wiki/Q177005","display_name":"Computational biology","level":1,"score":0.2831999957561493},{"id":"https://openalex.org/C156103551","wikidata":"https://www.wikidata.org/wiki/Q130998","display_name":"Equivalence relation","level":2,"score":0.26420000195503235}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2608.29747","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.29747","pdf_url":"https://arxiv.org/pdf/2608.29747","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":"doi:10.48550/arxiv.2608.29747","doi":"https://doi.org/10.48550/arxiv.2608.29747","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2608.29747","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":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2608.29747","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.29747","pdf_url":"https://arxiv.org/pdf/2608.29747","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":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7204871515.pdf","grobid_xml":"https://content.openalex.org/works/W7204871515.grobid-xml"},"referenced_works_count":1,"referenced_works":["https://openalex.org/W1524592161"],"related_works":["https://openalex.org/W7204877664","https://openalex.org/W7096823233","https://openalex.org/W7095264972","https://openalex.org/W2964133244","https://openalex.org/W145200501","https://openalex.org/W7099821263","https://openalex.org/W1611555602","https://openalex.org/W1958883231","https://openalex.org/W1642184259","https://openalex.org/W155654762"],"abstract_inverted_index":{"We":[0,25],"introduce":[1],"a":[2,52],"variant":[3],"of":[4,11,33,55],"reduced":[5],"Khovanov-Rozansky":[6],"homology":[7],"defined":[8],"in":[9,31],"terms":[10,32],"the":[12,20,23,37,56],"variables":[13],"alpha_1,":[14],"...,":[15],"alpha_{n-1}":[16],"that":[17,47],"correspond":[18],"to":[19],"regions":[21],"between":[22,39],"strands.":[24],"rigorously":[26],"reestablish":[27],"several":[28],"folklore":[29],"results":[30],"our":[34],"framework,":[35],"including":[36],"equivalence":[38],"Khovanov's":[40],"and":[41],"Rasmussen's":[42,48],"approaches.":[43],"Furthermore,":[44],"we":[45],"show":[46],"chain":[49,58],"complex":[50],"is":[51],"free":[53],"resolution":[54],"Rouquier":[57],"complex.":[59]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-09-02T00:00:00"}
