{"id":"https://openalex.org/W7213501013","doi":"https://doi.org/10.48550/arxiv.2609.18902","title":"Skein theory, line defects, and quantum symmetric pairs","display_name":"Skein theory, line defects, and quantum symmetric pairs","publication_year":2026,"publication_date":"2026-09-16","ids":{"openalex":"https://openalex.org/W7213501013","doi":"https://doi.org/10.48550/arxiv.2609.18902"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2609.18902","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.18902","pdf_url":"https://arxiv.org/pdf/2609.18902","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","indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2609.18902","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5148889351","display_name":"Eric Yen-Yo Chen","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Chen, Eric Yen-Yo","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5082523669","display_name":"David A. Jordan","orcid":"https://orcid.org/0000-0003-3733-6221","observed_orcids":["https://orcid.org/0000-0003-3733-6221"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Jordan, David","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5064845123","display_name":"Iordanis Romaidis","orcid":"https://orcid.org/0009-0000-0144-0495","observed_orcids":["https://orcid.org/0009-0000-0144-0495"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Romaidis, Iordanis","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"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/T10287","display_name":"Algebraic structures and combinatorial models","score":0.7577999830245972,"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/T10287","display_name":"Algebraic structures and combinatorial models","score":0.7577999830245972,"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/T10304","display_name":"Geometric and Algebraic Topology","score":0.22769999504089355,"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":0.0044999998062849045,"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/skein-theory","display_name":"skein theory","score":0.9760000109672546},{"id":"https://openalex.org/keywords/line-defects","display_name":"line defects","score":0.9120000004768372},{"id":"https://openalex.org/keywords/quantum-symmetric-pairs","display_name":"quantum symmetric pairs","score":0.9739999771118164},{"id":"https://openalex.org/keywords/finiteness-properties","display_name":"finiteness properties","score":0.8820000290870667},{"id":"https://openalex.org/keywords/3-manifolds","display_name":"3-manifolds","score":0.9259999990463257}],"concepts":[{"id":"https://openalex.org/C194674032","wikidata":"https://www.wikidata.org/wiki/Q1142190","display_name":"Skein","level":2,"score":0.9890999794006348},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6062999963760376},{"id":"https://openalex.org/C2780392137","wikidata":"https://www.wikidata.org/wiki/Q17121801","display_name":"Ribbon","level":2,"score":0.5676000118255615},{"id":"https://openalex.org/C58666742","wikidata":"https://www.wikidata.org/wiki/Q4421793","display_name":"Skein relation","level":4,"score":0.521399974822998},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.5091000199317932},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4867999851703644},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.43209999799728394},{"id":"https://openalex.org/C52007518","wikidata":"https://www.wikidata.org/wiki/Q4953698","display_name":"Bracket polynomial","level":5,"score":0.42149999737739563},{"id":"https://openalex.org/C192209626","wikidata":"https://www.wikidata.org/wiki/Q190909","display_name":"Focus (optics)","level":2,"score":0.41280001401901245},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.4009000062942505},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.37880000472068787},{"id":"https://openalex.org/C198352243","wikidata":"https://www.wikidata.org/wiki/Q37105","display_name":"Line (geometry)","level":2,"score":0.35929998755455017},{"id":"https://openalex.org/C155281189","wikidata":"https://www.wikidata.org/wiki/Q3518150","display_name":"Tensor (intrinsic definition)","level":2,"score":0.3287999927997589},{"id":"https://openalex.org/C51255310","wikidata":"https://www.wikidata.org/wiki/Q1163016","display_name":"Tensor product","level":2,"score":0.31850001215934753},{"id":"https://openalex.org/C75432250","wikidata":"https://www.wikidata.org/wiki/Q29654355","display_name":"Real line","level":2,"score":0.30820000171661377},{"id":"https://openalex.org/C143330242","wikidata":"https://www.wikidata.org/wiki/Q849798","display_name":"Knot theory","level":3,"score":0.30410000681877136},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.28450000286102295},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.28439998626708984},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.27129998803138733},{"id":"https://openalex.org/C28855332","wikidata":"https://www.wikidata.org/wiki/Q198099","display_name":"Quantization (signal processing)","level":2,"score":0.2599000036716461}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2609.18902","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.18902","pdf_url":"https://arxiv.org/pdf/2609.18902","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.2609.18902","doi":"https://doi.org/10.48550/arxiv.2609.18902","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2609.18902","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:2609.18902","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.18902","pdf_url":"https://arxiv.org/pdf/2609.18902","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":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7213501013.pdf","grobid_xml":"https://content.openalex.org/works/W7213501013.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W7163890173","https://openalex.org/W4415326885","https://openalex.org/W2765573623","https://openalex.org/W6958604636","https://openalex.org/W4403618512","https://openalex.org/W4320342596","https://openalex.org/W7212135802","https://openalex.org/W3012377743","https://openalex.org/W2314528477","https://openalex.org/W4310658374"],"abstract_inverted_index":{"We":[0,25],"construct":[1],"skein":[2,42,50,58,66],"theory":[3,51,59],"for":[4,39],"3-manifolds":[5],"with":[6,56],"embedded":[7],"line":[8,28],"defects,":[9],"starting":[10],"from":[11,31],"the":[12,76],"data":[13],"of":[14,69,72],"a":[15,65,70],"ribbon":[16],"tensor":[17],"category":[18],"and":[19,35,52],"its":[20],"balanced":[21],"braided":[22],"module":[23],"category.":[24],"focus":[26],"on":[27],"defects":[29],"arising":[30],"quantum":[32],"symmetric":[33],"pairs,":[34],"prove":[36],"finiteness":[37],"properties":[38],"their":[40],"defect":[41,57],"modules.":[43],"As":[44],"an":[45,54],"application,":[46],"we":[47],"consider":[48],"$\\mathbf{Z}_2$-equivariant":[49],"establish":[53],"equivalence":[55],"in":[60,75],"certain":[61],"settings,":[62],"leading":[63],"to":[64],"theoretical":[67],"construction":[68],"family":[71],"$\\mathrm{C}^\\vee\\mathrm{C}$":[73],"DAHA-modules":[74],"Type":[77],"AIII":[78],"case.":[79]},"counts_by_year":[],"updated_date":"2026-10-28T10:33:24.094632","created_date":"2026-09-18T00:00:00"}