{"id":"https://openalex.org/W7207601655","doi":"https://doi.org/10.48550/arxiv.2609.02848","title":"The universal moduli space of non-degenerate $\\mathbb{Z}/2\\mathbb{Z}$ harmonic spinors","display_name":"The universal moduli space of non-degenerate $\\mathbb{Z}/2\\mathbb{Z}$ harmonic spinors","publication_year":2026,"publication_date":"2026-09-02","ids":{"openalex":"https://openalex.org/W7207601655","doi":"https://doi.org/10.48550/arxiv.2609.02848"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2609.02848","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.02848","pdf_url":"https://arxiv.org/pdf/2609.02848","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-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","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/2609.02848","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5115601666","display_name":"Siqi He","orcid":"https://orcid.org/0000-0002-3690-7355","observed_orcids":["https://orcid.org/0000-0002-3690-7355"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"He, Siqi","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5109221530","display_name":"G.J. Parker","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Parker, Gregory J.","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5043492778","display_name":"Thomas Walpuski","orcid":"https://orcid.org/0000-0002-2705-3423","observed_orcids":["https://orcid.org/0000-0002-2705-3423"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Walpuski, Thomas","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":0.46799999475479126,"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":0.46799999475479126,"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/T12351","display_name":"Geometry and complex manifolds","score":0.3190999925136566,"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/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.09600000083446503,"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/harmonic-spinors","display_name":"harmonic spinors","score":0.7850000262260437},{"id":"https://openalex.org/keywords/eigenspinors","display_name":"eigenspinors","score":0.9319999814033508},{"id":"https://openalex.org/keywords/moduli-spaces","display_name":"moduli spaces","score":0.7620000243186951},{"id":"https://openalex.org/keywords/frechet-manifolds","display_name":"Fr\u00e9chet manifolds","score":0.8130000233650208},{"id":"https://openalex.org/keywords/fredholm-maps","display_name":"Fredholm maps","score":0.7540000081062317},{"id":"https://openalex.org/keywords/deformation-theory","display_name":"deformation theory","score":0.9079999923706055},{"id":"https://openalex.org/keywords/riemannian-geometry","display_name":"Riemannian geometry","score":0.6460000276565552},{"id":"https://openalex.org/keywords/3-manifolds","display_name":"3-manifolds","score":0.6349999904632568},{"id":"https://openalex.org/keywords/4-manifolds","display_name":"4-manifolds","score":0.9980000257492065}],"concepts":[{"id":"https://openalex.org/C43506125","wikidata":"https://www.wikidata.org/wiki/Q604907","display_name":"Spinor","level":2,"score":0.6021000146865845},{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.5806999802589417},{"id":"https://openalex.org/C73373263","wikidata":"https://www.wikidata.org/wiki/Q845677","display_name":"Moduli space","level":2,"score":0.544700026512146},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5206000208854675},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.5131000280380249},{"id":"https://openalex.org/C121089165","wikidata":"https://www.wikidata.org/wiki/Q6889796","display_name":"Moduli","level":2,"score":0.4880000054836273},{"id":"https://openalex.org/C127934551","wikidata":"https://www.wikidata.org/wiki/Q1148098","display_name":"Harmonic","level":2,"score":0.48159998655319214},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.47189998626708984},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4172999858856201},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.40220001339912415},{"id":"https://openalex.org/C162329640","wikidata":"https://www.wikidata.org/wiki/Q332648","display_name":"Covering space","level":2,"score":0.4016999900341034},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3628000020980835},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.3142000138759613},{"id":"https://openalex.org/C3387666","wikidata":"https://www.wikidata.org/wiki/Q6889798","display_name":"Moduli of algebraic curves","level":3,"score":0.31360000371932983},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.3010999858379364},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.295199990272522},{"id":"https://openalex.org/C193718343","wikidata":"https://www.wikidata.org/wiki/Q7261160","display_name":"Pure spinor","level":4,"score":0.2892000079154968},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.28700000047683716},{"id":"https://openalex.org/C12362212","wikidata":"https://www.wikidata.org/wiki/Q728435","display_name":"Linear subspace","level":2,"score":0.2827000021934509},{"id":"https://openalex.org/C61697454","wikidata":"https://www.wikidata.org/wiki/Q1142276","display_name":"Five-dimensional space","level":2,"score":0.27619999647140503},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.26809999346733093},{"id":"https://openalex.org/C32834561","wikidata":"https://www.wikidata.org/wiki/Q660730","display_name":"Subspace topology","level":2,"score":0.2508000135421753}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2609.02848","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.02848","pdf_url":"https://arxiv.org/pdf/2609.02848","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-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2609.02848","doi":"https://doi.org/10.48550/arxiv.2609.02848","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2609.02848","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-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2609.02848","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.02848","pdf_url":"https://arxiv.org/pdf/2609.02848","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-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","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/G8521326714","display_name":"PostDoctoral Research Fellowship","funder_award_id":"2303102","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320337380","display_name":"Division of Mathematical Sciences","ror":"https://ror.org/051fftw81"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7207601655.pdf","grobid_xml":"https://content.openalex.org/works/W7207601655.grobid-xml"},"referenced_works_count":57,"referenced_works":["https://openalex.org/W141833697","https://openalex.org/W263539856","https://openalex.org/W1486172840","https://openalex.org/W1534880334","https://openalex.org/W1635400377","https://openalex.org/W1838932384","https://openalex.org/W1891416874","https://openalex.org/W1967658353","https://openalex.org/W1995580595","https://openalex.org/W2001491057","https://openalex.org/W2012587272","https://openalex.org/W2023538357","https://openalex.org/W2026386044","https://openalex.org/W2032317001","https://openalex.org/W2040607427","https://openalex.org/W2043641803","https://openalex.org/W2046473936","https://openalex.org/W2060588344","https://openalex.org/W2073865550","https://openalex.org/W2081914515","https://openalex.org/W2119091249","https://openalex.org/W2318129564","https://openalex.org/W2321983357","https://openalex.org/W2324966407","https://openalex.org/W2516905766","https://openalex.org/W2529600658","https://openalex.org/W2540956363","https://openalex.org/W2590429163","https://openalex.org/W2598065241","https://openalex.org/W2778791510","https://openalex.org/W2779515438","https://openalex.org/W2802958796","https://openalex.org/W2893575475","https://openalex.org/W2962781275","https://openalex.org/W2963677839","https://openalex.org/W2972015938","https://openalex.org/W2994783700","https://openalex.org/W3033809720","https://openalex.org/W3093986817","https://openalex.org/W3141871949","https://openalex.org/W3209384144","https://openalex.org/W4213131537","https://openalex.org/W4243494807","https://openalex.org/W4381165032","https://openalex.org/W4386923505","https://openalex.org/W4387947058","https://openalex.org/W4390437769","https://openalex.org/W4394645933","https://openalex.org/W4400642430","https://openalex.org/W4400720150","https://openalex.org/W4404318058","https://openalex.org/W4406462491","https://openalex.org/W4415084661","https://openalex.org/W4416398136","https://openalex.org/W4417080904","https://openalex.org/W6891894224","https://openalex.org/W7129010937"],"related_works":["https://openalex.org/W7129010937","https://openalex.org/W4299566626","https://openalex.org/W6982094837","https://openalex.org/W1860041439","https://openalex.org/W2967231752","https://openalex.org/W2612687060","https://openalex.org/W2075561588","https://openalex.org/W7097369356","https://openalex.org/W2785409852","https://openalex.org/W169820008"],"abstract_inverted_index":{"This":[0],"article":[1],"equips":[2],"the":[3,26,37],"universal":[4],"moduli":[5],"spaces":[6,29],"of":[7,40,49,59],"non-degenerate":[8,71],"$\\mathbb{Z}/2\\mathbb{Z}$":[9,72],"harmonic":[10,41,51,73],"spinors":[11,42,52],"and":[12,19,43,48,62],"eigenspinors":[13,44],"with":[14],"tame":[15],"Fr\u00e9chet":[16],"manifold":[17],"structures":[18],"proves":[20],"that":[21],"their":[22],"natural":[23],"projections":[24],"to":[25],"corresponding":[27],"parameter":[28],"are":[30],"uniformly":[31],"Fredholm.":[32],"A":[33],"unified":[34],"construction":[35],"yields":[36],"deformation":[38,68],"theories":[39],"in":[45,53,76],"dimension":[46,54,77],"three":[47],"chiral":[50],"four,":[55],"recovering":[56],"earlier":[57],"work":[58],"Donaldson,":[60],"Parker,":[61],"Takahashi.":[63],"As":[64],"an":[65],"application,":[66],"a":[67],"theory":[69],"for":[70],"self-dual":[74],"$2$-forms":[75],"four":[78],"is":[79],"established.":[80]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-09-04T00:00:00"}