{"id":"https://openalex.org/W3037073178","doi":"https://doi.org/10.37236/1645","title":"Kasteleyn Cokernels","display_name":"Kasteleyn Cokernels","publication_year":2002,"publication_date":"2002-06-24","ids":{"openalex":"https://openalex.org/W3037073178","doi":"https://doi.org/10.37236/1645","mag":"3037073178"},"language":"en","primary_location":{"id":"doi:10.37236/1645","is_oa":true,"landing_page_url":"https://doi.org/10.37236/1645","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v9i1r29/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":false,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v9i1r29/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5031305513","display_name":"Greg Kuperberg","orcid":null},"institutions":[{"id":"https://openalex.org/I84218800","display_name":"University of California, Davis","ror":"https://ror.org/05rrcem69","country_code":"US","type":"education","lineage":["https://openalex.org/I84218800"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Greg Kuperberg","raw_affiliation_strings":["Department of Mathematics University of California, Davis, CA 95616"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics University of California, Davis, CA 95616","institution_ids":["https://openalex.org/I84218800"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5031305513"],"corresponding_institution_ids":["https://openalex.org/I84218800"],"apc_list":null,"apc_paid":null,"fwci":1.7516,"has_fulltext":true,"cited_by_count":18,"citation_normalized_percentile":{"value":0.84376701,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"9","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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":0.9972000122070312,"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/T12748","display_name":"Molecular spectroscopy and chirality","score":0.9670000076293945,"subfield":{"id":"https://openalex.org/subfields/1607","display_name":"Spectroscopy"},"field":{"id":"https://openalex.org/fields/16","display_name":"Chemistry"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8134846687316895},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8014495968818665},{"id":"https://openalex.org/keywords/enumeration","display_name":"Enumeration","score":0.7196528911590576},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.6887397766113281},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5283646583557129},{"id":"https://openalex.org/keywords/plane","display_name":"Plane (geometry)","score":0.4185114800930023},{"id":"https://openalex.org/keywords/young-tableau","display_name":"Young tableau","score":0.4115639328956604},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3268660306930542},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.10553786158561707}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8134846687316895},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8014495968818665},{"id":"https://openalex.org/C156340839","wikidata":"https://www.wikidata.org/wiki/Q2704791","display_name":"Enumeration","level":2,"score":0.7196528911590576},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.6887397766113281},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5283646583557129},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.4185114800930023},{"id":"https://openalex.org/C165368118","wikidata":"https://www.wikidata.org/wiki/Q2166280","display_name":"Young tableau","level":2,"score":0.4115639328956604},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3268660306930542},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.10553786158561707},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.37236/1645","is_oa":true,"landing_page_url":"https://doi.org/10.37236/1645","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v9i1r29/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":false,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},{"id":"pmh:oai:escholarship.org/ark:/13030/qt5ms100h0","is_oa":true,"landing_page_url":"https://escholarship.org/uc/item/5ms100h0","pdf_url":"https://escholarship.org/uc/item/5ms100h0","source":{"id":"https://openalex.org/S4306400115","display_name":"eScholarship (California Digital Library)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2801248553","host_organization_name":"California Digital Library","host_organization_lineage":["https://openalex.org/I2801248553"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"article"},{"id":"pmh:qt5ms100h0","is_oa":true,"landing_page_url":"http://www.escholarship.org/uc/item/5ms100h0","pdf_url":"http://www.escholarship.org/uc/item/5ms100h0","source":{"id":"https://openalex.org/S4306400115","display_name":"eScholarship (California Digital Library)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2801248553","host_organization_name":"California Digital Library","host_organization_lineage":["https://openalex.org/I2801248553"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Kuperberg, Greg. (2001). Kasteleyn cokernels. Electron. J. Combin. 9 (2002), #R29. UC Davis: Department of Mathematics. Retrieved from: http://www.escholarship.org/uc/item/5ms100h0","raw_type":"article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.57.9780","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.57.9780","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.combinatorics.org/Volume_9/PostScriptfiles/v9i1r29.ps","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.9.5701","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.9.5701","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.combinatorics.org/Volume_9/PDF/v9i1r29.pdf","raw_type":"text"}],"best_oa_location":{"id":"doi:10.37236/1645","is_oa":true,"landing_page_url":"https://doi.org/10.37236/1645","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v9i1r29/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":false,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G101112439","display_name":null,"funder_award_id":"Fellow","funder_id":"https://openalex.org/F4320306151","funder_display_name":"Alfred P. Sloan Foundation"},{"id":"https://openalex.org/G6449638708","display_name":"Quantum algebra and topology","funder_award_id":"0072342","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6894402473","display_name":null,"funder_award_id":"Fellowship","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G7747380127","display_name":"Topology, Geometry and Algebraic Combinatorics","funder_award_id":"9704125","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/F4320306151","display_name":"Alfred P. Sloan Foundation","ror":"https://ror.org/052csg198"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3037073178.pdf","grobid_xml":"https://content.openalex.org/works/W3037073178.grobid-xml"},"referenced_works_count":25,"referenced_works":["https://openalex.org/W63201508","https://openalex.org/W1480961488","https://openalex.org/W1551177513","https://openalex.org/W1967472879","https://openalex.org/W1969007985","https://openalex.org/W1977628371","https://openalex.org/W2001482097","https://openalex.org/W2016832592","https://openalex.org/W2026897841","https://openalex.org/W2035176959","https://openalex.org/W2040967704","https://openalex.org/W2063822466","https://openalex.org/W2077004953","https://openalex.org/W2078635841","https://openalex.org/W2091600172","https://openalex.org/W2104871902","https://openalex.org/W2105759001","https://openalex.org/W2111293718","https://openalex.org/W2113542586","https://openalex.org/W2145982510","https://openalex.org/W2317423124","https://openalex.org/W2949280680","https://openalex.org/W2952515827","https://openalex.org/W6600623642","https://openalex.org/W6608905145"],"related_works":["https://openalex.org/W108845024","https://openalex.org/W4300125793","https://openalex.org/W2578985712","https://openalex.org/W2406961474","https://openalex.org/W3042106073","https://openalex.org/W2143566611","https://openalex.org/W588267724","https://openalex.org/W2057205169","https://openalex.org/W4297743441","https://openalex.org/W2245212494"],"abstract_inverted_index":{"We":[0,65,77,110],"consider":[1],"Kasteleyn":[2],"and":[3,21,72,99,106,122,157],"Kasteleyn-Percus":[4,63],"matrices,":[5],"which":[6,136],"arise":[7],"in":[8,53,86,135,205],"enumerating":[9,151],"matchings":[10],"of":[11,48,75,81,91,96,103,147,150,154,167,190,200,208,211],"planar":[12,74,104],"graphs,":[13],"up":[14],"to":[15,37,62,69,94,185],"matrix":[16,26,170,202],"operations":[17],"on":[18,112],"their":[19,107,158],"rows":[20],"columns.":[22],"If":[23,176],"such":[24],"a":[25,30,79,144,165,168,172],"is":[27,35],"defined":[28],"over":[29],"principal":[31],"ideal":[32],"domain,":[33],"this":[34],"equivalent":[36,54,61],"considering":[38],"its":[39,44],"Smith":[40,173],"normal":[41,174,198],"form":[42,199],"or":[43,120,129],"cokernel.":[45],"Many":[46],"variations":[47],"the":[49,89,113,116,148,186,197,201,206],"enumeration":[50,207],"methods":[51],"result":[52],"matrices.":[55,64],"In":[56,160],"particular,":[57],"Gessel-Viennot":[58],"matrices":[59,92],"are":[60,118,138],"apply":[66],"these":[67],"ideas":[68],"plane":[70,97,155],"partitions":[71,98,156],"related":[73,132],"tilings.":[76,140],"list":[78],"number":[80],"conjectures,":[82],"supported":[83],"by":[84],"experiments":[85],"Maple,":[87],"about":[88],"forms":[90],"associated":[93,184],"enumerations":[95,117],"other":[100],"lozenge":[101],"tilings":[102,210],"regions":[105],"symmetry":[108,152],"classes.":[109],"focus":[111],"case":[114],"where":[115],"round":[119,128],"$q$-round,":[121],"we":[123,162,193],"conjecture":[124,163],"that":[125,164,203],"cokernels":[126],"remain":[127],"$q$-round":[130],"for":[131],"\"impossible":[133],"enumerations\"":[134],"there":[137],"no":[139],"Our":[141],"conjectures":[142],"provide":[143],"new":[145],"view":[146],"topic":[149],"classes":[153],"generalizations.":[159],"particular":[161],"$q$-specialization":[166],"Jacobi-Trudi":[169],"has":[171],"form.":[175],"so":[177],"it":[178],"could":[179],"be":[180],"an":[181,212],"interesting":[182],"structure":[183],"corresponding":[187],"irreducible":[188],"representation":[189],"SL$(n,C)$.":[191],"Finally":[192],"find,":[194],"with":[195],"proof,":[196],"appears":[204],"domino":[209],"Aztec":[213],"diamond.":[214]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":3},{"year":2014,"cited_by_count":1}],"updated_date":"2026-04-11T08:14:18.477133","created_date":"2025-10-10T00:00:00"}
