{"id":"https://openalex.org/W7095080703","doi":null,"title":"Topological quantum field theories from compact Lie groups. arXiv:0905.0731","display_name":"Topological quantum field theories from compact Lie groups. arXiv:0905.0731","publication_year":2009,"publication_date":"2009-01-01","ids":{"openalex":"https://openalex.org/W7095080703"},"language":"en","primary_location":{"id":"pmh:oai:CiteSeerX.psu:10.1.1.250.8066","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.250.8066","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/0905.0731v1.pdf","raw_type":"text"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":[],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5084835247","display_name":"Daniel S. Freed","orcid":"https://orcid.org/0000-0003-0150-1555","observed_orcids":["https://orcid.org/0000-0003-0150-1555"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Daniel S. Freed","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5059524702","display_name":"Michael J. Hopkins","orcid":"https://orcid.org/0000-0003-0147-6476","observed_orcids":["https://orcid.org/0000-0003-0147-6476"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Michael J. Hopkins","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5006401706","display_name":"Jacob Lurie","orcid":"https://orcid.org/0000-0002-2215-1972","observed_orcids":["https://orcid.org/0000-0002-2215-1972"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Jacob Lurie","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5085784472","display_name":"Constantin Teleman","orcid":"https://orcid.org/0000-0001-6054-7962","observed_orcids":["https://orcid.org/0000-0001-6054-7962"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Constantin Teleman","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":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":true,"primary_topic":{"id":"https://openalex.org/T10304","display_name":"Geometric and Algebraic Topology","score":0.45089998841285706,"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":0.45089998841285706,"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":0.3596000075340271,"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/T10287","display_name":"Algebraic structures and combinatorial models","score":0.12470000237226486,"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/topological-quantum-field-theory","display_name":"topological field theory","score":0.9860000014305115},{"id":"https://openalex.org/keywords/compact-lie-groups","display_name":"compact Lie groups","score":0.9959999918937683},{"id":"https://openalex.org/keywords/classifying-spaces","display_name":"classifying spaces","score":0.8209999799728394},{"id":"https://openalex.org/keywords/chern-simons-theory","display_name":"Chern-Simons theory","score":0.953000009059906},{"id":"https://openalex.org/keywords/yang-mills-theory","display_name":"Yang-Mills theory","score":0.7850000262260437},{"id":"https://openalex.org/keywords/torus","display_name":"torus","score":0.4749999940395355},{"id":"https://openalex.org/keywords/finite-groups","display_name":"finite groups","score":0.8190000057220459},{"id":"https://openalex.org/keywords/anomalies","display_name":"anomalies","score":0.31200000643730164}],"concepts":[{"id":"https://openalex.org/C7503960","wikidata":"https://www.wikidata.org/wiki/Q721094","display_name":"Topological quantum field theory","level":2,"score":0.8123000264167786},{"id":"https://openalex.org/C115047598","wikidata":"https://www.wikidata.org/wiki/Q54505","display_name":"Quantum field theory","level":2,"score":0.5913000106811523},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.519599974155426},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.3982999920845032},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3919999897480011},{"id":"https://openalex.org/C81332173","wikidata":"https://www.wikidata.org/wiki/Q179899","display_name":"Topological space","level":2,"score":0.375900000333786},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.3610000014305115},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.35249999165534973},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3409999907016754},{"id":"https://openalex.org/C187915474","wikidata":"https://www.wikidata.org/wiki/Q622679","display_name":"Lie group","level":2,"score":0.33869999647140503},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.3377000093460083},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.33550000190734863},{"id":"https://openalex.org/C12997251","wikidata":"https://www.wikidata.org/wiki/Q567560","display_name":"Anomaly (physics)","level":2,"score":0.3312999904155731},{"id":"https://openalex.org/C187268509","wikidata":"https://www.wikidata.org/wiki/Q1402884","display_name":"Field theory (psychology)","level":2,"score":0.33079999685287476},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.3192000091075897},{"id":"https://openalex.org/C23409769","wikidata":"https://www.wikidata.org/wiki/Q7310750","display_name":"Relationship between string theory and quantum field theory","level":4,"score":0.3019999861717224},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.30140000581741333},{"id":"https://openalex.org/C121040770","wikidata":"https://www.wikidata.org/wiki/Q215675","display_name":"Quantum entanglement","level":3,"score":0.2732999920845032},{"id":"https://openalex.org/C105295557","wikidata":"https://www.wikidata.org/wiki/Q5051814","display_name":"Categorical quantum mechanics","level":5,"score":0.2630999982357025},{"id":"https://openalex.org/C31498916","wikidata":"https://www.wikidata.org/wiki/Q583034","display_name":"Locally compact space","level":2,"score":0.2597000002861023},{"id":"https://openalex.org/C527218924","wikidata":"https://www.wikidata.org/wiki/Q964053","display_name":"Topological algebra","level":3,"score":0.2529999911785126},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.25220000743865967},{"id":"https://openalex.org/C197273675","wikidata":"https://www.wikidata.org/wiki/Q13220368","display_name":"Representation theory","level":2,"score":0.25060001015663147},{"id":"https://openalex.org/C134565946","wikidata":"https://www.wikidata.org/wiki/Q906015","display_name":"Direct limit","level":2,"score":0.2502000033855438}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:CiteSeerX.psu:10.1.1.250.8066","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.250.8066","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/0905.0731v1.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.250.8799","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.250.8799","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/0905.0731v2.pdf","raw_type":"text"}],"best_oa_location":null,"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/W1906511349","https://openalex.org/W1493571364","https://openalex.org/W7097751925","https://openalex.org/W1903615838","https://openalex.org/W7149037645","https://openalex.org/W3093516278","https://openalex.org/W370318994","https://openalex.org/W2057502613","https://openalex.org/W4304701483","https://openalex.org/W1987973965"],"abstract_inverted_index":{"Let":[0],"G":[1,54,171,175],"be":[2],"a":[3,9,15,57,62,154,177,210,215],"compact":[4],"Lie":[5],"group":[6],"and":[7,102],"BG":[8],"classifying":[10],"space":[11],"for":[12,34,38,45,49,73,193],"G.":[13],"Then":[14],"class":[16],"in":[17,187,235],"H":[18],"n":[19],"1":[20,228],"BG;":[21],"Z":[22],"leads":[23],"to":[24,117,144,158,163,200,209],"an":[25,76,198,221,246],"n-dimensional":[26],"topological":[27,63,82],"quantum":[28,83],"field":[29,84,223],"theory":[30,37,48,85,110,115,156,207,224],"(TQFT),":[31],"at":[32],"least":[33],"n\ufffd1,2,3.":[35],"The":[36,47,69,97,128,212],"n\ufffd1is":[39],"trivial,":[40],"but":[41],"we":[42,130,152,165,196,241],"include":[43],"it":[44,60,119],"completeness.":[46],"n\ufffd2has":[50],"some":[51],"infinities":[52],"if":[53],"is":[55,61,75,93,125,172,176,214,220],"not":[56],"finite":[58,173],"group;":[59],"limit":[64],"of":[65,80,183,225],"2-dimensional":[66],"Yang-Mills":[67],"theory.":[68],"most":[70],"direct":[71],"analog":[72],"n\ufffd3":[74,148],"L":[77,122],"2":[78,123],"version":[79],"the":[81,88,107,121,141,147,160,168,179,184,201,243],"based":[86],"on":[87],"classical":[89],"Chern-Simons":[90,114,149,206,219],"invariant,":[91],"which":[92,104,138,151],"only":[94,166],"partially":[95],"defined.":[96],"TQFT":[98],"constructed":[99],"by":[100,106],"Witten":[101],"Reshetikhin-Turaev":[103],"goes":[105],"name":[108],"\u2018Chern-Simons":[109],"\u2019":[111,116,157],"(sometimes":[112],"\u2018holomorphic":[113],"distinguish":[118],"from":[120],"theory)":[124],"completely":[126],"finite.":[127],"theories":[129,195],"construct":[131],"here":[132],"are":[133],"extended,":[134],"or":[135,174],"multi-tiered,":[136],"TQFTs":[137],"go":[139],"all":[140],"way":[142],"down":[143,162],"points.":[145],"For":[146],"theory,":[150],"term":[153],"\u20180-1-2-3":[155],"emphasize":[159],"extension":[161],"points,":[164],"treat":[167],"cases":[169],"where":[170],"torus,":[178],"latter":[180],"being":[181],"one":[182],"main":[185],"novelties":[186],"this":[188],"paper.":[189],"In":[190],"other":[191],"words,":[192],"toral":[194],"provide":[197],"answer":[199,213],"longstanding":[202],"question:":[203],"What":[204],"does":[205],"attach":[208],"point?":[211],"bit":[216],"subtle":[217],"as":[218,245],"anomalous":[222],"oriented":[226],"manifolds.":[227],"This":[229],"framing":[230],"anomaly":[231,244],"was":[232],"already":[233],"flagged":[234],"Witten\u2019s":[236],"seminal":[237],"paper":[238],"[Wi].":[239],"Here":[240],"interpret":[242],"invertible":[247]},"counts_by_year":[],"updated_date":"2026-10-14T16:39:01.820549","created_date":"2025-10-27T00:00:00"}
