{"id":"https://openalex.org/W587245271","doi":null,"title":"Stringy and Orbiforld Cohomology of Wreath Product Orbifolds","display_name":"Stringy and Orbiforld Cohomology of Wreath Product Orbifolds","publication_year":2012,"publication_date":"2012-11-07","ids":{"openalex":"https://openalex.org/W587245271","mag":"587245271"},"language":"en","primary_location":{"id":"mag:587245271","doi":null,"is_oa":true,"landing_page_url":"http://ejpam.com/index.php/ejpam/article/viewFile/1234/273","pdf_url":null,"source":{"id":"https://openalex.org/S2764475867","display_name":"European Journal of Pure and Applied Mathematics","issn_l":"1307-5543","issn":["1307-5543"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1","norway-1","poland-20","russia-white-list-3"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"European Journal of Pure and Applied Mathematics","raw_type":null},"volume":null,"type":"article","is_traditional":true,"indexed_in":[],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"http://ejpam.com/index.php/ejpam/article/viewFile/1234/273","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5080400202","display_name":"Tomoo Matsumura","orcid":"https://orcid.org/0000-0002-4250-742X","observed_orcids":["https://orcid.org/0000-0002-4250-742X"]},"institutions":[{"id":"https://openalex.org/I157485424","display_name":"Korea Advanced Institute of Science and Technology","ror":"https://ror.org/05apxxy63","country_code":"KR","type":"education","lineage":["https://openalex.org/I157485424"]},{"id":"https://openalex.org/I205783295","display_name":"Cornell University","ror":"https://ror.org/05bnh6r87","country_code":"US","type":"education","lineage":["https://openalex.org/I205783295"]}],"countries":["KR","US"],"is_corresponding":true,"raw_author_name":"Tomoo Matsumura","raw_affiliation_strings":["Cornell University (~2011 June)#R##N#/ KAIST - Korea Advanced Institute of Science & Technology (2011 Sept ~)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Cornell University (~2011 June)#R##N#/ KAIST - Korea Advanced Institute of Science & Technology (2011 Sept ~)","institution_ids":["https://openalex.org/I157485424","https://openalex.org/I205783295"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5080400202"],"corresponding_institution_ids":["https://openalex.org/I157485424","https://openalex.org/I205783295"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"5","issue":"4","first_page":"492","last_page":"510"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.9648000001907349,"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":0.9648000001907349,"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/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.02070000022649765,"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/T12351","display_name":"Geometry and complex manifolds","score":0.005499999970197678,"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/orbifold-cohomology","display_name":"orbifold cohomology","score":0.9900000095367432},{"id":"https://openalex.org/keywords/wreath-products","display_name":"wreath products","score":0.8399999737739563},{"id":"https://openalex.org/keywords/symmetric-group","display_name":"symmetric group","score":0.6309999823570251},{"id":"https://openalex.org/keywords/chen-ruan-cohomology","display_name":"Chen-Ruan cohomology","score":0.8830000162124634},{"id":"https://openalex.org/keywords/hilbert-scheme-of-points","display_name":"Hilbert schemes of points","score":0.7680000066757202},{"id":"https://openalex.org/keywords/crepant-resolutions","display_name":"crepant resolutions","score":0.9430000185966492},{"id":"https://openalex.org/keywords/frobenius-algebras","display_name":"Frobenius algebras","score":0.9120000004768372},{"id":"https://openalex.org/keywords/projective-surfaces","display_name":"projective surfaces","score":0.5720000267028809},{"id":"https://openalex.org/keywords/almost-complex-manifolds","display_name":"almost complex manifolds","score":0.7059999704360962}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7793958187103271},{"id":"https://openalex.org/C75066664","wikidata":"https://www.wikidata.org/wiki/Q291126","display_name":"Semidirect product","level":3,"score":0.7384519577026367},{"id":"https://openalex.org/C143782950","wikidata":"https://www.wikidata.org/wiki/Q40460","display_name":"Orbifold","level":2,"score":0.720736563205719},{"id":"https://openalex.org/C95635736","wikidata":"https://www.wikidata.org/wiki/Q1786640","display_name":"Wreath product","level":3,"score":0.5240728259086609},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5176725387573242},{"id":"https://openalex.org/C78606066","wikidata":"https://www.wikidata.org/wiki/Q1198376","display_name":"Cohomology","level":2,"score":0.485607773065567},{"id":"https://openalex.org/C2776379255","wikidata":"https://www.wikidata.org/wiki/Q3406705","display_name":"Crossed product","level":3,"score":0.4362432360649109},{"id":"https://openalex.org/C64694042","wikidata":"https://www.wikidata.org/wiki/Q5128445","display_name":"Classifying space","level":3,"score":0.4185697138309479},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.41398143768310547},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.3148196339607239},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.2929086685180664},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.24954691529273987},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.17362314462661743},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.12875914573669434},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"mag:587245271","doi":null,"is_oa":true,"landing_page_url":"http://ejpam.com/index.php/ejpam/article/viewFile/1234/273","pdf_url":null,"source":{"id":"https://openalex.org/S2764475867","display_name":"European Journal of Pure and Applied Mathematics","issn_l":"1307-5543","issn":["1307-5543"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1","norway-1","poland-20","russia-white-list-3"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"European Journal of Pure and Applied Mathematics","raw_type":null}],"best_oa_location":{"id":"mag:587245271","doi":null,"is_oa":true,"landing_page_url":"http://ejpam.com/index.php/ejpam/article/viewFile/1234/273","pdf_url":null,"source":{"id":"https://openalex.org/S2764475867","display_name":"European Journal of Pure and Applied Mathematics","issn_l":"1307-5543","issn":["1307-5543"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1","norway-1","poland-20","russia-white-list-3"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"European Journal of Pure and Applied Mathematics","raw_type":null},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W87329676","https://openalex.org/W1493602554","https://openalex.org/W1496373921","https://openalex.org/W1806195193","https://openalex.org/W1832082068","https://openalex.org/W1847518756","https://openalex.org/W1942165802","https://openalex.org/W1980659493","https://openalex.org/W1990601205","https://openalex.org/W1995941396","https://openalex.org/W2011981136","https://openalex.org/W2016655112","https://openalex.org/W2020035333","https://openalex.org/W2057236959","https://openalex.org/W2068662463","https://openalex.org/W2073997465","https://openalex.org/W2083792745","https://openalex.org/W2093570051","https://openalex.org/W2094534542","https://openalex.org/W2157665758","https://openalex.org/W2158231340","https://openalex.org/W2160266230","https://openalex.org/W2963564816","https://openalex.org/W3037302045","https://openalex.org/W3105378457"],"related_works":["https://openalex.org/W7098162174","https://openalex.org/W2083792745","https://openalex.org/W2016655112","https://openalex.org/W1606351552","https://openalex.org/W1487965519","https://openalex.org/W1980659493","https://openalex.org/W7099764774","https://openalex.org/W2953252522","https://openalex.org/W7097272336","https://openalex.org/W2099362006"],"abstract_inverted_index":{"Let":[0,22,59],"$[X/\\sfG]$":[1],"be":[2,24,63],"an":[3],"orbifold":[4,56,101],"which":[5],"is":[6,37,84,98,111,121,139,149,158],"a":[7,11,18,112,122,140,169],"global":[8],"quotient":[9],"of":[10,43,69,80,103,125,131,143,172],"compact":[12],"almost":[13],"complex":[14],"manifold":[15],"$X$":[16,110],"by":[17,91,137],"finite":[19],"group":[20,27],"$\\sfG$.":[21],"$\\Sigma_n$":[23],"the":[25,39,50,55,64,70,77,87,99,128,173],"symmetric":[26],"on":[28,49,134],"$n$":[29,132],"letters.":[30],"Their":[31],"semidirect":[32],"product":[33,52],"$\\sfG^n":[34],"\\rtimes":[35,162],"\\Sigma_n$":[36],"called":[38],"{\\em":[40],"wreath":[41],"product}":[42],"$G$":[44],"and":[45,93,119],"it":[46],"naturally":[47],"acts":[48],"$n$-fold":[51],"$X^n$,":[53],"yielding":[54],"$[X^n/(G^n\\rtimes":[57],"\\Sigma_n)]$.":[58],"$\\calH(X^n,":[60,81],"\\sfG^n\\rtimes":[61,82],"\\Sigma_n)$":[62,83],"stringy":[65],"cohomology":[66,102],"~\\cite{FG,":[67],"JKK1}":[68],"$(\\sfG^n\\rtimes":[71],"\\Sigma_n)$-space":[72],"$X^n$.":[73],"We":[74,105],"prove":[75,107],"that":[76],"space":[78],"$\\sfG^n$-invariants":[79],"isomorphic":[85,150,159],"to":[86,151,160,179],"algebra":[88],"$H_{orb}([X/\\sfG])\\{\\Sigma_n\\}$":[89],"introduced":[90],"Lehn":[92],"Sorger":[94],"~\\cite{LS},":[95],"where":[96],"$H_{orb}([X/\\sfG])$":[97,152],"Chen-Ruan":[100],"$[X/\\sfG]$.":[104],"also":[106],"that,":[108],"if":[109,147],"projective":[113],"surface":[114],"with":[115],"trivial":[116],"canonical":[117],"class":[118],"$Y$":[120],"crepant":[123,141],"resolution":[124,142,176],"$X/\\sfG$,":[126],"then":[127,156],"Hilbert":[129],"scheme":[130],"points":[133],"$Y$,":[135],"denoted":[136],"$Y^{[n]}$,":[138],"$X^n/(\\sfG^n\\rtimes":[144],"\\Sigma_n)$.":[145],"Furthermore,":[146],"$H^{\\ast}(Y)$":[148],"as":[153,164],"Frobenius":[154],"algebras,":[155],"$H^{*}(Y^{[n]})$":[157],"$H^{\\ast}_{orb}([X^n/(\\sfG^n":[161],"\\Sigma_n)])$":[163],"rings.":[165],"Thus":[166],"we":[167],"verify":[168],"special":[170],"case":[171],"cohomological":[174],"hyper-K\\{a}hler":[175],"conjecture":[177],"due":[178],"Ruan":[180],"~\\cite{R}.":[181]},"counts_by_year":[],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2016-06-24T00:00:00"}
