{"id":"https://openalex.org/W7223263891","doi":"https://doi.org/10.48550/arxiv.2610.30192","title":"Alexander Torsion and Floer Comparisons in the BV-BFV Formalism","display_name":"Alexander Torsion and Floer Comparisons in the BV-BFV Formalism","publication_year":2026,"publication_date":"2026-10-21","ids":{"openalex":"https://openalex.org/W7223263891","doi":"https://doi.org/10.48550/arxiv.2610.30192"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2610.30192","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.30192","pdf_url":"https://arxiv.org/pdf/2610.30192","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/2610.30192","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5062622288","display_name":"Nima Moshayedi","orcid":"https://orcid.org/0000-0002-3517-679X","observed_orcids":["https://orcid.org/0000-0002-3517-679X"]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Moshayedi, Nima","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5062622288"],"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":0.9595000147819519,"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":0.9595000147819519,"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":0.026499999687075615,"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":0.00279999990016222,"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/knot-floer-homology","display_name":"knot Floer homology","score":0.878000020980835},{"id":"https://openalex.org/keywords/alexander-polynomial","display_name":"Alexander polynomial","score":0.5699999928474426},{"id":"https://openalex.org/keywords/genus-bounds","display_name":"genus bounds","score":0.6119999885559082},{"id":"https://openalex.org/keywords/branched-coverings","display_name":"branched coverings","score":0.8830000162124634},{"id":"https://openalex.org/keywords/morita-equivalence","display_name":"Morita equivalence","score":0.9559999704360962},{"id":"https://openalex.org/keywords/hochschild-homology","display_name":"Hochschild homology","score":0.6439999938011169}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7232000231742859},{"id":"https://openalex.org/C77461463","wikidata":"https://www.wikidata.org/wiki/Q7827201","display_name":"Torsion (gastropod)","level":2,"score":0.6452999711036682},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4697999954223633},{"id":"https://openalex.org/C9767117","wikidata":"https://www.wikidata.org/wiki/Q12510","display_name":"Torus","level":2,"score":0.4643999934196472},{"id":"https://openalex.org/C136170076","wikidata":"https://www.wikidata.org/wiki/Q181296","display_name":"Abelian group","level":2,"score":0.43950000405311584},{"id":"https://openalex.org/C196433757","wikidata":"https://www.wikidata.org/wiki/Q852973","display_name":"Euler characteristic","level":2,"score":0.4036000072956085},{"id":"https://openalex.org/C14103023","wikidata":"https://www.wikidata.org/wiki/Q11681459","display_name":"Pairing","level":3,"score":0.3935999870300293},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.37049999833106995},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.36320000886917114},{"id":"https://openalex.org/C124194741","wikidata":"https://www.wikidata.org/wiki/Q320809","display_name":"Braid","level":2,"score":0.3571000099182129},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.3513000011444092},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.3303999900817871},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.3287999927997589},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.30000001192092896},{"id":"https://openalex.org/C204575570","wikidata":"https://www.wikidata.org/wiki/Q207476","display_name":"Holomorphic function","level":2,"score":0.28279998898506165},{"id":"https://openalex.org/C2780286412","wikidata":"https://www.wikidata.org/wiki/Q1188344","display_name":"Unknot","level":3,"score":0.2806999981403351},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.2786000072956085},{"id":"https://openalex.org/C192939610","wikidata":"https://www.wikidata.org/wiki/Q188444","display_name":"Differential geometry","level":2,"score":0.2773999869823456},{"id":"https://openalex.org/C122041747","wikidata":"https://www.wikidata.org/wiki/Q838611","display_name":"Ball (mathematics)","level":2,"score":0.273499995470047},{"id":"https://openalex.org/C32848918","wikidata":"https://www.wikidata.org/wiki/Q845789","display_name":"Observable","level":2,"score":0.2732999920845032},{"id":"https://openalex.org/C108598597","wikidata":"https://www.wikidata.org/wiki/Q124255","display_name":"Conic section","level":2,"score":0.27320000529289246},{"id":"https://openalex.org/C19794929","wikidata":"https://www.wikidata.org/wiki/Q168620","display_name":"Trefoil knot","level":4,"score":0.27000001072883606},{"id":"https://openalex.org/C9136319","wikidata":"https://www.wikidata.org/wiki/Q362640","display_name":"Covariant transformation","level":2,"score":0.26489999890327454},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.25859999656677246},{"id":"https://openalex.org/C41608201","wikidata":"https://www.wikidata.org/wiki/Q980509","display_name":"Embedding","level":2,"score":0.2583000063896179},{"id":"https://openalex.org/C34130140","wikidata":"https://www.wikidata.org/wiki/Q1645406","display_name":"Midpoint","level":2,"score":0.2547999918460846},{"id":"https://openalex.org/C73301696","wikidata":"https://www.wikidata.org/wiki/Q5469984","display_name":"Formalism (music)","level":3,"score":0.2508000135421753}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2610.30192","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.30192","pdf_url":"https://arxiv.org/pdf/2610.30192","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.2610.30192","doi":"https://doi.org/10.48550/arxiv.2610.30192","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2610.30192","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2610.30192","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.30192","pdf_url":"https://arxiv.org/pdf/2610.30192","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/W7223263891.pdf","grobid_xml":"https://content.openalex.org/works/W7223263891.grobid-xml"},"referenced_works_count":19,"referenced_works":["https://openalex.org/W1495508238","https://openalex.org/W1637790094","https://openalex.org/W1642974873","https://openalex.org/W1702046180","https://openalex.org/W1807973447","https://openalex.org/W1964009156","https://openalex.org/W1975031005","https://openalex.org/W2032119731","https://openalex.org/W2039000372","https://openalex.org/W2042341157","https://openalex.org/W2057231049","https://openalex.org/W2072977624","https://openalex.org/W2090960837","https://openalex.org/W2098797513","https://openalex.org/W2158305029","https://openalex.org/W2241115659","https://openalex.org/W2581100946","https://openalex.org/W2953096876","https://openalex.org/W4296186560"],"related_works":["https://openalex.org/W2344858695","https://openalex.org/W2583651185","https://openalex.org/W2912258051","https://openalex.org/W1483916785","https://openalex.org/W2984169975","https://openalex.org/W2607867468","https://openalex.org/W2155798028","https://openalex.org/W4410777261","https://openalex.org/W2147420028","https://openalex.org/W7212390492"],"abstract_inverted_index":{"We":[0,50],"compare":[1],"relative":[2,23],"Abelian":[3],"BF":[4],"torsion":[5,24,32],"with":[6,25,44,102,122],"the":[7,21,26,60,67,92,123],"Alexander-graded":[8],"Euler":[9],"characteristic":[10,100],"of":[11,63,78],"knot":[12],"Floer":[13],"homology.":[14],"A":[15,71],"meridional":[16],"annulus":[17],"boundary":[18],"condition":[19],"identifies":[20],"normalized":[22],"Alexander":[27],"polynomial.":[28],"One":[29],"exact":[30],"prime-cyclotomic":[31],"value":[33],"recovers":[34],"all":[35],"its":[36],"coefficients":[37],"under":[38],"a":[39,86,112,115,119,132],"sharp":[40],"genus":[41],"bound,":[42],"compatibly":[43],"connected-sum":[45],"gluing":[46],"and":[47,54,84,107],"branched-cover":[48],"formulas.":[49],"compute":[51],"interface":[52],"contractions":[53],"obstructions":[55],"to":[56,111],"scalar":[57],"comparisons,":[58],"including":[59],"pairing":[61],"defect":[62],"two-sector":[64],"reduction":[65],"for":[66],"degree-zero":[68,124],"torus":[69,125],"algebra.":[70,126],"six-generator":[72],"dg":[73],"resolution":[74],"yields":[75],"an":[76],"equivalence":[77,121],"perfect-module":[79],"categories":[80],"preserving":[81],"derived":[82],"pairings":[83],"admits":[85],"classical":[87],"one-dimensional":[88],"BV-BFV":[89],"realization.":[90],"In":[91],"fixed":[93],"nonresonant":[94],"polynomial":[95],"quantum":[96],"BFV":[97],"sector,":[98],"over":[99],"zero":[101],"$\\hbar$":[103],"inverted,":[104],"both":[105],"states":[106],"Weyl":[108],"observables":[109],"reduce":[110],"vacuum":[113],"field;":[114],"Hochschild":[116],"invariant":[117],"obstructs":[118],"Morita":[120],"These":[127],"results":[128],"do":[129],"not":[130],"establish":[131],"full":[133],"geometric":[134],"BV-BFV/Floer":[135],"equivalence.":[136]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-10-24T00:00:00"}
