{"id":"https://openalex.org/W7214317852","doi":"https://doi.org/10.48550/arxiv.2609.29299","title":"Adjoint Reidemeister torsion from hyperbolic gluing equations","display_name":"Adjoint Reidemeister torsion from hyperbolic gluing equations","publication_year":2026,"publication_date":"2026-09-24","ids":{"openalex":"https://openalex.org/W7214317852","doi":"https://doi.org/10.48550/arxiv.2609.29299"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2609.29299","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.29299","pdf_url":"https://arxiv.org/pdf/2609.29299","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/2609.29299","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5152772821","display_name":"Shuang Ming","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ming, Shuang","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5152801878","display_name":"Baojun Wu","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Wu, Baojun","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":1,"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":0.9984999895095825,"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":0.9984999895095825,"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/T10899","display_name":"Advanced Operator Algebra Research","score":9.999999747378752e-05,"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/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":9.999999747378752e-05,"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/cusped-hyperbolic-3-manifolds","display_name":"cusped hyperbolic 3-manifolds","score":0.9279999732971191},{"id":"https://openalex.org/keywords/ideal-triangulations","display_name":"ideal triangulations","score":0.7450000047683716},{"id":"https://openalex.org/keywords/turaev-viro-invariants","display_name":"Turaev-Viro invariants","score":0.8180000185966492},{"id":"https://openalex.org/keywords/quantum-invariants","display_name":"quantum invariants","score":0.6489999890327454},{"id":"https://openalex.org/keywords/gram-matrix","display_name":"Gram matrix","score":0.8799999952316284},{"id":"https://openalex.org/keywords/asymptotic-expansion","display_name":"asymptotic expansion","score":0.5870000123977661}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8489000201225281},{"id":"https://openalex.org/C77461463","wikidata":"https://www.wikidata.org/wiki/Q7827201","display_name":"Torsion (gastropod)","level":2,"score":0.5924000144004822},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.5662000179290771},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5504000186920166},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.5411999821662903},{"id":"https://openalex.org/C2776639384","wikidata":"https://www.wikidata.org/wiki/Q840396","display_name":"Ideal (ethics)","level":2,"score":0.4596000015735626},{"id":"https://openalex.org/C135981907","wikidata":"https://www.wikidata.org/wiki/Q188056","display_name":"Triangulation","level":2,"score":0.451200008392334},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.4316999912261963},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3977999985218048},{"id":"https://openalex.org/C73905626","wikidata":"https://www.wikidata.org/wiki/Q206925","display_name":"Power series","level":2,"score":0.38839998841285706},{"id":"https://openalex.org/C206352148","wikidata":"https://www.wikidata.org/wiki/Q209306","display_name":"Hyperbolic geometry","level":3,"score":0.376800000667572},{"id":"https://openalex.org/C63036529","wikidata":"https://www.wikidata.org/wiki/Q1855669","display_name":"Invariant theory","level":3,"score":0.3571000099182129},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.32409998774528503},{"id":"https://openalex.org/C192939610","wikidata":"https://www.wikidata.org/wiki/Q188444","display_name":"Differential geometry","level":2,"score":0.3156999945640564},{"id":"https://openalex.org/C200741047","wikidata":"https://www.wikidata.org/wiki/Q1957758","display_name":"Integrable system","level":2,"score":0.31450000405311584},{"id":"https://openalex.org/C11683690","wikidata":"https://www.wikidata.org/wiki/Q752726","display_name":"Asymptotic expansion","level":2,"score":0.27250000834465027},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.26809999346733093}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2609.29299","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.29299","pdf_url":"https://arxiv.org/pdf/2609.29299","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.2609.29299","doi":"https://doi.org/10.48550/arxiv.2609.29299","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2609.29299","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:2609.29299","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.29299","pdf_url":"https://arxiv.org/pdf/2609.29299","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":[{"id":"https://openalex.org/G2245133966","display_name":null,"funder_award_id":"2023YFA1010700","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2469286828","display_name":null,"funder_award_id":"12371124","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3479604623","display_name":null,"funder_award_id":"12526204","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7214317852.pdf","grobid_xml":"https://content.openalex.org/works/W7214317852.grobid-xml"},"referenced_works_count":6,"referenced_works":["https://openalex.org/W3199610185","https://openalex.org/W4362598403","https://openalex.org/W4385848680","https://openalex.org/W4416779140","https://openalex.org/W6948259386","https://openalex.org/W7203688216"],"related_works":["https://openalex.org/W4390598035","https://openalex.org/W2763396383","https://openalex.org/W4404367675","https://openalex.org/W3008709510","https://openalex.org/W3131669713","https://openalex.org/W3134015039","https://openalex.org/W2142450648","https://openalex.org/W3199144702","https://openalex.org/W7133293723","https://openalex.org/W2990297730"],"abstract_inverted_index":{"Motivated":[0],"by":[1],"the":[2,42,54,60,64,76,86,113,121,126,131],"study":[3,65],"of":[4,6,22,38,46,66,68,72,89,98,105,115],"asymptotics":[5,67],"quantum":[7],"invariants,":[8],"Dimofte":[9,116],"and":[10,41,49,82,101,117,119],"Garoufalidis":[11,118],"introduced":[12],"a":[13,18,23],"power":[14],"series":[15],"associated":[16],"to":[17,130],"suitable":[19],"ideal":[20,47,106],"triangulation":[21],"cusped":[24,73],"hyperbolic":[25],"$3$-manifold.":[26],"They":[27],"proved":[28],"that":[29,51,85],"its":[30],"constant":[31],"term":[32,123],"can":[33],"be":[34,94],"written":[35,95],"in":[36,63,96,125],"terms":[37,88,97],"Neumann-Zagier":[39],"data":[40],"complex":[43],"shape":[44],"parameters":[45],"tetrahedra,":[48],"conjectured":[50],"it":[52],"equals":[53],"adjoint":[55,132],"twisted":[56,133],"Reidemeister":[57,134],"torsion.":[58,135],"On":[59],"other":[61],"hand,":[62],"Turaev-Viro":[69,127],"type":[70,128],"invariants":[71],"$":[74],"3$-manifolds,":[75],"authors,":[77],"together":[78],"with":[79],"Liu,":[80],"Sun":[81],"Yang,":[83],"found":[84],"one-loop":[87,122],"their":[90],"asymptotic":[91],"expansions":[92],"could":[93],"Gram":[99],"matrices":[100],"decorated":[102],"edge":[103],"lengths":[104],"tetrahedra.":[107],"In":[108],"this":[109],"paper,":[110],"we":[111],"prove":[112],"conjecture":[114],"relate":[120],"appearing":[124],"invariant":[129]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-09-26T00:00:00"}
