{"id":"https://openalex.org/W7215867996","doi":"https://doi.org/10.48550/arxiv.2610.00179","title":"Completed cycle transfer and the conifold gap for (P^2, E)","display_name":"Completed cycle transfer and the conifold gap for (P^2, E)","publication_year":2026,"publication_date":"2026-09-16","ids":{"openalex":"https://openalex.org/W7215867996","doi":"https://doi.org/10.48550/arxiv.2610.00179"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2610.00179","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.00179","pdf_url":"https://arxiv.org/pdf/2610.00179","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/2610.00179","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5155781796","display_name":"Xiaobin Li","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I4800084","display_name":"Southwest Jiaotong University","ror":"https://ror.org/00hn7w693","country_code":"CN","type":"education","lineage":["https://openalex.org/I4800084"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Li, Xiaobin","raw_affiliation_strings":["School of Mathematics , Southwest Jiaotong University , Chengdu , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics , Southwest Jiaotong University , Chengdu , China","institution_ids":["https://openalex.org/I4800084"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5155781796"],"corresponding_institution_ids":["https://openalex.org/I4800084"],"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/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.8281000256538391,"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":0.8281000256538391,"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/T10025","display_name":"Black Holes and Theoretical Physics","score":0.14830000698566437,"subfield":{"id":"https://openalex.org/subfields/3106","display_name":"Nuclear and High Energy Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10287","display_name":"Algebraic structures and combinatorial models","score":0.006899999920278788,"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/nekrasov-shatashvili-limit","display_name":"Nekrasov-Shatashvili limit","score":0.8769999742507935},{"id":"https://openalex.org/keywords/topological-strings","display_name":"topological string theory","score":0.7149999737739563},{"id":"https://openalex.org/keywords/projective-plane","display_name":"projective plane","score":0.6320000290870667},{"id":"https://openalex.org/keywords/relative-gromov-witten-invariants","display_name":"relative Gromov-Witten invariants","score":0.824999988079071},{"id":"https://openalex.org/keywords/holomorphic-factorization","display_name":"holomorphic factorization","score":0.4869999885559082}],"concepts":[{"id":"https://openalex.org/C2780276040","wikidata":"https://www.wikidata.org/wiki/Q5161070","display_name":"Conifold","level":3,"score":0.9628999829292297},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7872999906539917},{"id":"https://openalex.org/C204575570","wikidata":"https://www.wikidata.org/wiki/Q207476","display_name":"Holomorphic function","level":2,"score":0.7013000249862671},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.43070000410079956},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4092999994754791},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.4072999954223633},{"id":"https://openalex.org/C16171025","wikidata":"https://www.wikidata.org/wiki/Q863349","display_name":"Singularity","level":2,"score":0.34450000524520874},{"id":"https://openalex.org/C187834632","wikidata":"https://www.wikidata.org/wiki/Q188804","display_name":"Factorization","level":2,"score":0.33739998936653137},{"id":"https://openalex.org/C135692309","wikidata":"https://www.wikidata.org/wiki/Q111124","display_name":"Square (algebra)","level":2,"score":0.31779998540878296},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.30329999327659607},{"id":"https://openalex.org/C179117685","wikidata":"https://www.wikidata.org/wiki/Q328998","display_name":"Complex plane","level":2,"score":0.3028999865055084},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.2973000109195709},{"id":"https://openalex.org/C77926391","wikidata":"https://www.wikidata.org/wiki/Q603880","display_name":"Finite field","level":2,"score":0.28209999203681946},{"id":"https://openalex.org/C126875415","wikidata":"https://www.wikidata.org/wiki/Q203425","display_name":"Unit circle","level":2,"score":0.27730000019073486},{"id":"https://openalex.org/C157369684","wikidata":"https://www.wikidata.org/wiki/Q34740","display_name":"Genus","level":2,"score":0.27619999647140503},{"id":"https://openalex.org/C162392398","wikidata":"https://www.wikidata.org/wiki/Q272404","display_name":"Finite set","level":2,"score":0.2761000096797943},{"id":"https://openalex.org/C39290043","wikidata":"https://www.wikidata.org/wiki/Q1475760","display_name":"Projective plane","level":3,"score":0.27459999918937683},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.2720000147819519},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2687000036239624}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2610.00179","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.00179","pdf_url":"https://arxiv.org/pdf/2610.00179","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.2610.00179","doi":"https://doi.org/10.48550/arxiv.2610.00179","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2610.00179","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:2610.00179","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.00179","pdf_url":"https://arxiv.org/pdf/2610.00179","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/G149344814","display_name":null,"funder_award_id":"2682025ZTPY057","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"id":"https://openalex.org/G2946282769","display_name":null,"funder_award_id":"390831469","funder_id":"https://openalex.org/F4320337121","funder_display_name":"Mainz Institute for Theoretical Physics, Johannes Gutenberg University Mainz"},{"id":"https://openalex.org/G3589661357","display_name":null,"funder_award_id":"390831469","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"id":"https://openalex.org/G4723422662","display_name":null,"funder_award_id":"11671328","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5244962043","display_name":null,"funder_award_id":"11426187","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G616035817","display_name":null,"funder_award_id":"11501470","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6238874699","display_name":null,"funder_award_id":"-YF09-","funder_id":"https://openalex.org/F4320336736","funder_display_name":"Chengdu Science and Technology Program"},{"id":"https://openalex.org/G6498991510","display_name":null,"funder_award_id":"2682025ZTPY001","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"id":"https://openalex.org/G7474302544","display_name":null,"funder_award_id":"2682021ZTPY043","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"id":"https://openalex.org/G8842951052","display_name":null,"funder_award_id":"2682025ZTO002","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null},{"id":"https://openalex.org/F4320336736","display_name":"Chengdu Science and Technology Program","ror":null},{"id":"https://openalex.org/F4320337121","display_name":"Mainz Institute for Theoretical Physics, Johannes Gutenberg University Mainz","ror":"https://ror.org/04f7q0n30"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7215867996.pdf","grobid_xml":"https://content.openalex.org/works/W7215867996.grobid-xml"},"referenced_works_count":41,"referenced_works":["https://openalex.org/W1484479264","https://openalex.org/W1571083958","https://openalex.org/W1596419715","https://openalex.org/W1733211298","https://openalex.org/W1867213188","https://openalex.org/W1976841071","https://openalex.org/W1993895831","https://openalex.org/W2003448897","https://openalex.org/W2006442667","https://openalex.org/W2006475073","https://openalex.org/W2043793762","https://openalex.org/W2045213551","https://openalex.org/W2047178258","https://openalex.org/W2047493173","https://openalex.org/W2051251233","https://openalex.org/W2051980695","https://openalex.org/W2052626565","https://openalex.org/W2061542355","https://openalex.org/W2066832707","https://openalex.org/W2069628678","https://openalex.org/W2086888155","https://openalex.org/W2102420090","https://openalex.org/W2102933904","https://openalex.org/W2121326231","https://openalex.org/W2125258882","https://openalex.org/W2145315260","https://openalex.org/W2600119073","https://openalex.org/W2732980205","https://openalex.org/W2773264825","https://openalex.org/W2797526241","https://openalex.org/W2890344093","https://openalex.org/W2963450458","https://openalex.org/W2965670976","https://openalex.org/W2972896915","https://openalex.org/W2999669067","https://openalex.org/W3083994128","https://openalex.org/W3101984320","https://openalex.org/W3108488303","https://openalex.org/W3209265925","https://openalex.org/W7135400284","https://openalex.org/W7147670578"],"related_works":["https://openalex.org/W4416255503","https://openalex.org/W7202340249","https://openalex.org/W7213371793","https://openalex.org/W7216108560","https://openalex.org/W2999669067","https://openalex.org/W2308432830","https://openalex.org/W2961561497","https://openalex.org/W4403818519","https://openalex.org/W4405563535","https://openalex.org/W4394653799"],"abstract_inverted_index":{"Conifold":[0],"boundary":[1,59],"conditions":[2],"constrain":[3],"higher":[4,67],"genus":[5,68,84],"topological":[6],"string":[7],"free":[8],"energies,":[9],"but":[10],"the":[11,40,45,52,72,78,119,129,137,142,145,158,165,173,191,199],"cancellation":[12],"of":[13,51,77,118,144,190],"subleading":[14],"poles":[15],"is":[16,134,196],"not":[17],"implied":[18],"by":[19,110,136,141,157],"their":[20],"leading":[21],"singular":[22],"behavior.":[23],"We":[24,86,176],"prove":[25],"a":[26,56,61,106,111,126],"regularity":[27],"theorem":[28],"for":[29,44,184],"connected":[30,132],"elliptic":[31,94],"completed":[32],"cycle":[33],"traces":[34],"and":[35,60,81,122,140,151,188,201],"use":[36],"it":[37],"to":[38,172],"establish":[39],"Nekrasov-Shatashvili":[41],"conifold":[42,89,138],"gap":[43,171],"maximal":[46],"contact":[47],"relative":[48,79,174],"Gromov-Witten":[49],"theory":[50],"projective":[53,169],"plane":[54,170],"with":[55,92,125],"smooth":[57],"cubic":[58],"top":[62],"Hodge":[63],"class":[64],"insertion.":[65],"The":[66,147,194],"local/relative":[69],"correspondence":[70],"expresses":[71],"ordinary":[73,167],"potential":[74,80],"in":[75,198],"terms":[76],"differentiated":[82],"lower":[83],"contributions.":[85],"identify":[87],"its":[88],"polarized":[90],"correction":[91],"an":[93],"trace.":[95],"A":[96,161],"central":[97],"difference":[98],"identity":[99],"resums":[100],"each":[101],"non-vacuum":[102,131],"partition":[103],"weight":[104],"into":[105],"content":[107],"product":[108],"multiplied":[109],"regular":[112,116,185],"exponential.":[113],"For":[114],"arbitrary":[115],"parts":[117],"input":[120],"potentials":[121],"any":[123],"nome":[124],"simple":[127],"zero,":[128],"normalized":[130],"contribution":[133],"divisible":[135],"coordinate":[139],"square":[143],"coupling.":[146],"entire":[148],"polar":[149],"part":[150,153,180],"finite":[152,179,182],"are":[154],"consequently":[155],"determined":[156],"vacuum":[159],"constants.":[160],"triangular":[162],"induction":[163],"transfers":[164],"known":[166],"local":[168],"theory.":[175],"also":[177],"obtain":[178],"identities,":[181],"formulas":[183],"Taylor":[186],"coefficients,":[187],"reconstruction":[189],"holomorphic":[192,203],"ambiguities.":[193],"argument":[195],"formal":[197],"coupling":[200],"gives":[202],"remainders":[204],"at":[205],"every":[206],"fixed":[207],"genus.":[208]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-10-03T00:00:00"}