{"id":"https://openalex.org/W7225658983","doi":"https://doi.org/10.5281/zenodo.24092722","title":"Laurent Exponential Gauss--Manin Systems: Exact Quantum Curves, Completion, and Hard-Edge Degeneration","display_name":"Laurent Exponential Gauss--Manin Systems: Exact Quantum Curves, Completion, and Hard-Edge Degeneration","publication_year":2026,"publication_date":"2026-11-09","ids":{"openalex":"https://openalex.org/W7225658983","doi":"https://doi.org/10.5281/zenodo.24092722"},"language":"en","primary_location":{"id":"doi:10.5281/zenodo.24092722","doi":"https://doi.org/10.5281/zenodo.24092722","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24092722","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.5281/zenodo.24092722","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5135111368","display_name":"Jesse Forjan","orcid":"https://orcid.org/0009-0000-7963-9728","observed_orcids":["https://orcid.org/0009-0000-7963-9728"]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Forjan, Jesse","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0009-0000-7963-9728","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5135111368"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"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/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.5922999978065491,"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/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.5922999978065491,"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/T11022","display_name":"Spectral Theory in Mathematical Physics","score":0.08309999853372574,"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/T13400","display_name":"Mathematical and Theoretical Analysis","score":0.05350000038743019,"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/airy-equation","display_name":"Airy equation","score":0.7250000238418579},{"id":"https://openalex.org/keywords/flat-connections","display_name":"flat connections","score":0.48100000619888306},{"id":"https://openalex.org/keywords/normal-forms","display_name":"normal forms","score":0.4869999885559082},{"id":"https://openalex.org/keywords/borel-summability","display_name":"Borel summability","score":0.6930000185966492},{"id":"https://openalex.org/keywords/wheeler-dewitt-equation","display_name":"Wheeler-DeWitt equation","score":0.8159999847412109}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.699400007724762},{"id":"https://openalex.org/C199422724","wikidata":"https://www.wikidata.org/wiki/Q41118","display_name":"Quotient","level":2,"score":0.6718000173568726},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.5444999933242798},{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.5271999835968018},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.5169000029563904},{"id":"https://openalex.org/C2778355321","wikidata":"https://www.wikidata.org/wiki/Q17079427","display_name":"Identity (music)","level":2,"score":0.46389999985694885},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.45730000734329224},{"id":"https://openalex.org/C13355873","wikidata":"https://www.wikidata.org/wiki/Q2920850","display_name":"Connection (principal bundle)","level":2,"score":0.4438999891281128},{"id":"https://openalex.org/C184311908","wikidata":"https://www.wikidata.org/wiki/Q425432","display_name":"Laurent series","level":2,"score":0.439300000667572},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4189000129699707},{"id":"https://openalex.org/C124017977","wikidata":"https://www.wikidata.org/wiki/Q11412","display_name":"Gravitation","level":2,"score":0.41190001368522644},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.382099986076355},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.3476000130176544},{"id":"https://openalex.org/C140031139","wikidata":"https://www.wikidata.org/wiki/Q79897","display_name":"Morse code","level":2,"score":0.29670000076293945},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.29260000586509705},{"id":"https://openalex.org/C140901224","wikidata":"https://www.wikidata.org/wiki/Q409415","display_name":"Airy function","level":2,"score":0.2897000014781952},{"id":"https://openalex.org/C14257148","wikidata":"https://www.wikidata.org/wiki/Q558066","display_name":"Gravitational field","level":2,"score":0.28760001063346863},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.2851000130176544},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.27459999918937683},{"id":"https://openalex.org/C106639798","wikidata":"https://www.wikidata.org/wiki/Q1701125","display_name":"Laurent polynomial","level":2,"score":0.26820001006126404},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.2630999982357025},{"id":"https://openalex.org/C198082294","wikidata":"https://www.wikidata.org/wiki/Q3399648","display_name":"Position (finance)","level":2,"score":0.2596000134944916},{"id":"https://openalex.org/C2778409180","wikidata":"https://www.wikidata.org/wiki/Q17105514","display_name":"Resummation","level":3,"score":0.257099986076355}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.5281/zenodo.24092722","doi":"https://doi.org/10.5281/zenodo.24092722","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24092722","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},{"id":"doi:10.5281/zenodo.24092723","doi":"https://doi.org/10.5281/zenodo.24092723","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24092723","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},{"id":"doi:10.5281/zenodo.24095871","doi":"https://doi.org/10.5281/zenodo.24095871","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24095871","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},{"id":"doi:10.5281/zenodo.24095872","doi":"https://doi.org/10.5281/zenodo.24095872","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24095872","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.5281/zenodo.24092722","doi":"https://doi.org/10.5281/zenodo.24092722","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24092722","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W7221355802","https://openalex.org/W7225632445","https://openalex.org/W7096532390","https://openalex.org/W2964020135","https://openalex.org/W2039137218","https://openalex.org/W1526658835","https://openalex.org/W2964273978","https://openalex.org/W7166127417","https://openalex.org/W7130929793","https://openalex.org/W7154425060"],"abstract_inverted_index":{"For":[0],"polynomial--Laurent":[1],"exponential":[2,151],"phases":[3],"with":[4,40,101],"independentinverse-power":[5],"coefficients,":[6],"we":[7],"construct":[8],"split":[9],"twisted":[10,45],"normal":[11],"formsand":[12],"flat":[13,118],"meromorphic":[14],"connections,":[15],"uniformly":[16],"in":[17],"the":[18,53,57,82,126,166,186],"formalsemiclassical":[19],"parameter.":[20],"The":[21],"localized":[22],"quotient":[23],"has":[24,150],"rank":[25],"$N=d+k$;the":[26],"constant":[27],"amplitude":[28],"is":[29,84,157,189],"cyclic":[30],"and":[31,73,105,116,131,135,165,170],"satisfies":[32],"an":[33],"exact":[34,112],"monic":[35],"quantumcurve":[36],"of":[37,128,185],"order":[38],"$N$,":[39],"its":[41,155],"operator-ordering":[42],"correction":[43],"determinedby":[44],"integration":[46],"by":[47],"parts.":[48],"Exact":[49],"normal-form":[50],"trace":[51],"identitiesgive":[52],"full":[54],"period":[55],"determinant$C_\\Gamma\\hbar^{N/2}b_k^{(k+1)/2}e^{-\\Sigma/\\hbar}$,where":[56],"total":[58],"critical":[59],"action":[60,134],"$\\Sigma$":[61],"separates":[62],"into":[63],"polynomialand":[64],"inverse-power":[65],"coefficient":[66,81],"contributions.":[67],"This":[68],"identity":[69],"includesthe":[70],"determinant":[71],"monodromy":[72,107],"a":[74,78,117,139,143,177],"Gaussian":[75],"thimble":[76],"normalization.For":[77],"single":[79],"pole":[80],"connection":[83],"Fuchsian,":[85],"withmoment-frame":[86],"residue":[87],"spectrum":[88],"$0$":[89],"(multiplicity":[90],"$d$)":[91],"and$1/k,\\ldots,k/k$.":[92],"A":[93,147],"normalized":[94],"completion--Tor--monodromy":[95],"theorem":[96,124,181],"identifiesthe":[97],"completed":[98],"comparison":[99],"kernel":[100],"derived":[102],"Tor":[103],"layers":[104],"thelocal":[106],"image.":[108],"Pole":[109],"removal":[110],"gives":[111],"Weyl":[113],"factorizations,rank":[114],"loss,":[115],"but":[119],"non-finitely-generated":[120],"unlocalized":[121],"family.A":[122],"Newton-gap":[123],"determines":[125],"number":[127],"collapsing":[129],"criticalpoints":[130],"their":[132],"singular":[133],"Hessian":[136],"scales":[137],"when":[138],"highestpole":[140],"disappears":[141],"above":[142],"lower":[144],"nonzero":[145],"pole.":[146],"rank-five":[148],"positive-rayexample":[149],"irregular":[152],"growth":[153],"although":[154],"determinantconnection":[156],"regular":[158],"singular.":[159],"We":[160],"also":[161],"prove":[162],"endpointPuiseux--logarithmic":[163],"expansions":[164],"large-parameter":[167],"splittinginto":[168],"polynomial":[169],"hard-edge":[171],"saddles.":[172],"Full":[173],"signed":[174],"Stokes":[175],"matricesand":[176],"simultaneous":[178],"multipole":[179],"Tor--monodromy":[180],"remain":[182],"open;historical":[183],"novelty":[184],"individual":[187],"formulas":[188],"not":[190],"asserted.":[191]},"counts_by_year":[],"updated_date":"2026-11-11T12:16:26.678958","created_date":"2026-11-10T00:00:00"}
