{"id":"https://openalex.org/W4401915941","doi":"https://doi.org/10.1112/s0010437x24007188","title":"Connes fusion of spinors on loop space","display_name":"Connes fusion of spinors on loop space","publication_year":2024,"publication_date":"2024-07-01","ids":{"openalex":"https://openalex.org/W4401915941","doi":"https://doi.org/10.1112/s0010437x24007188"},"language":"en","primary_location":{"id":"doi:10.1112/s0010437x24007188","doi":"https://doi.org/10.1112/s0010437x24007188","is_oa":true,"landing_page_url":"https://doi.org/10.1112/s0010437x24007188","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/D452975B76EF10A028ACE1D33CE7AE25/S0010437X24007188a.pdf/div-class-title-connes-fusion-of-spinors-on-loop-space-div.pdf","source":{"id":"https://openalex.org/S66563395","display_name":"Compositio Mathematica","issn_l":"0010-437X","issn":["0010-437X","1570-5846"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-b","jufo-2","norway-2","poland-200","russia-white-list-1"],"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Compositio Mathematica","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/D452975B76EF10A028ACE1D33CE7AE25/S0010437X24007188a.pdf/div-class-title-connes-fusion-of-spinors-on-loop-space-div.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5064322900","display_name":"Peter Kristel","orcid":"https://orcid.org/0000-0003-3722-2283","observed_orcids":["https://orcid.org/0000-0003-3722-2283"]},"institutions":[{"id":"https://openalex.org/I135140700","display_name":"University of Bonn","ror":"https://ror.org/041nas322","country_code":"DE","type":"education","lineage":["https://openalex.org/I135140700"]},{"id":"https://openalex.org/I4391767997","display_name":"Hausdorff Center for Mathematics","ror":"https://ror.org/032n1tr36","country_code":"DE","type":"facility","lineage":["https://openalex.org/I135140700","https://openalex.org/I4391767997"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Peter Kristel","raw_affiliation_strings":["Hausdorff Center for Mathematics, University of Bonn, Endenicher Allee 60, 53115\u00a0Bonn, Germany\u00a0"],"raw_orcid":"https://orcid.org/0000-0003-3722-2283","affiliations":[{"raw_affiliation_string":"Hausdorff Center for Mathematics, University of Bonn, Endenicher Allee 60, 53115\u00a0Bonn, Germany\u00a0","institution_ids":["https://openalex.org/I135140700","https://openalex.org/I4391767997"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5106079467","display_name":"Konrad Waldorf","orcid":"https://orcid.org/0000-0003-2833-0004","observed_orcids":["https://orcid.org/0000-0003-2833-0004"]},"institutions":[{"id":"https://openalex.org/I36522303","display_name":"Universit\u00e4t Greifswald","ror":"https://ror.org/00r1edq15","country_code":"DE","type":"education","lineage":["https://openalex.org/I36522303"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Konrad Waldorf","raw_affiliation_strings":["Institut f\u00fcr Mathematik und Informatik, Universit\u00e4t Greifswald, Walther-Rathenau-Str. 47, 17487\u00a0Greifswald, Germany\u00a0"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Mathematik und Informatik, Universit\u00e4t Greifswald, Walther-Rathenau-Str. 47, 17487\u00a0Greifswald, Germany\u00a0","institution_ids":["https://openalex.org/I36522303"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":3450,"currency":"USD","value_usd":3450},"apc_paid":{"value":3450,"currency":"USD","value_usd":3450},"fwci":0.7949,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.57093158,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":95},"biblio":{"volume":"160","issue":"7","first_page":"1596","last_page":"1650"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.6859999895095825,"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"}},"topics":[{"id":"https://openalex.org/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.6859999895095825,"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/T10899","display_name":"Advanced Operator Algebra Research","score":0.19599999487400055,"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/T10025","display_name":"Black Holes and Theoretical Physics","score":0.06809999793767929,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/loop-spaces","display_name":"loop spaces","score":0.9210000038146973},{"id":"https://openalex.org/keywords/spinor-bundle","display_name":"spinor bundle","score":0.9010000228881836},{"id":"https://openalex.org/keywords/von-neumann-algebras","display_name":"von Neumann algebras","score":0.8429999947547913},{"id":"https://openalex.org/keywords/loop-fusion","display_name":"loop fusion","score":0.7639999985694885},{"id":"https://openalex.org/keywords/string-structures","display_name":"string structures","score":0.7720000147819519},{"id":"https://openalex.org/keywords/superstring-sigma-model","display_name":"superstring sigma model","score":0.7319999933242798},{"id":"https://openalex.org/keywords/bimodules","display_name":"bimodules","score":0.7929999828338623},{"id":"https://openalex.org/keywords/generalized-cohomology","display_name":"generalized cohomology","score":0.7590000033378601},{"id":"https://openalex.org/keywords/index-theory","display_name":"index theory","score":0.5879999995231628}],"concepts":[{"id":"https://openalex.org/C56907000","wikidata":"https://www.wikidata.org/wiki/Q1365548","display_name":"Principal bundle","level":3,"score":0.7187235355377197},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6942884922027588},{"id":"https://openalex.org/C191961195","wikidata":"https://www.wikidata.org/wiki/Q5477902","display_name":"Frame bundle","level":4,"score":0.657645583152771},{"id":"https://openalex.org/C32234688","wikidata":"https://www.wikidata.org/wiki/Q5133084","display_name":"Clifford bundle","level":5,"score":0.6326568126678467},{"id":"https://openalex.org/C44234333","wikidata":"https://www.wikidata.org/wiki/Q7917791","display_name":"Vector-valued differential form","level":5,"score":0.5889747738838196},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5570204257965088},{"id":"https://openalex.org/C200347057","wikidata":"https://www.wikidata.org/wiki/Q3254711","display_name":"Spinor field","level":3,"score":0.5560836791992188},{"id":"https://openalex.org/C144947467","wikidata":"https://www.wikidata.org/wiki/Q2397465","display_name":"Tautological line bundle","level":5,"score":0.5258253812789917},{"id":"https://openalex.org/C157486923","wikidata":"https://www.wikidata.org/wiki/Q1376436","display_name":"String (physics)","level":2,"score":0.4802730083465576},{"id":"https://openalex.org/C107773030","wikidata":"https://www.wikidata.org/wiki/Q2066070","display_name":"Loop space","level":2,"score":0.4673132598400116},{"id":"https://openalex.org/C137134375","wikidata":"https://www.wikidata.org/wiki/Q1509762","display_name":"Line bundle","level":2,"score":0.45569151639938354},{"id":"https://openalex.org/C43506125","wikidata":"https://www.wikidata.org/wiki/Q604907","display_name":"Spinor","level":2,"score":0.43212446570396423},{"id":"https://openalex.org/C125077839","wikidata":"https://www.wikidata.org/wiki/Q6675827","display_name":"Loop group","level":3,"score":0.4306009113788605},{"id":"https://openalex.org/C95857938","wikidata":"https://www.wikidata.org/wiki/Q658429","display_name":"Vector bundle","level":2,"score":0.4285559058189392},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.42442619800567627},{"id":"https://openalex.org/C2778134712","wikidata":"https://www.wikidata.org/wiki/Q1047307","display_name":"Bundle","level":2,"score":0.4229293465614319},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.42011743783950806},{"id":"https://openalex.org/C146710177","wikidata":"https://www.wikidata.org/wiki/Q1154996","display_name":"Fiber bundle","level":3,"score":0.4122436046600342},{"id":"https://openalex.org/C66384103","wikidata":"https://www.wikidata.org/wiki/Q2370925","display_name":"Normal bundle","level":3,"score":0.3736584186553955},{"id":"https://openalex.org/C184670325","wikidata":"https://www.wikidata.org/wiki/Q512604","display_name":"Loop (graph theory)","level":2,"score":0.342441201210022},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.19709575176239014},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.1219012439250946},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.10228216648101807},{"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},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1112/s0010437x24007188","doi":"https://doi.org/10.1112/s0010437x24007188","is_oa":true,"landing_page_url":"https://doi.org/10.1112/s0010437x24007188","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/D452975B76EF10A028ACE1D33CE7AE25/S0010437X24007188a.pdf/div-class-title-connes-fusion-of-spinors-on-loop-space-div.pdf","source":{"id":"https://openalex.org/S66563395","display_name":"Compositio Mathematica","issn_l":"0010-437X","issn":["0010-437X","1570-5846"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-b","jufo-2","norway-2","poland-200","russia-white-list-1"],"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Compositio Mathematica","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2012.08142","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2012.08142","pdf_url":"https://arxiv.org/pdf/2012.08142","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.2012.08142","doi":"https://doi.org/10.48550/arxiv.2012.08142","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2012.08142","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":"article-journal"}],"best_oa_location":{"id":"doi:10.1112/s0010437x24007188","doi":"https://doi.org/10.1112/s0010437x24007188","is_oa":true,"landing_page_url":"https://doi.org/10.1112/s0010437x24007188","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/D452975B76EF10A028ACE1D33CE7AE25/S0010437X24007188a.pdf/div-class-title-connes-fusion-of-spinors-on-loop-space-div.pdf","source":{"id":"https://openalex.org/S66563395","display_name":"Compositio Mathematica","issn_l":"0010-437X","issn":["0010-437X","1570-5846"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-b","jufo-2","norway-2","poland-200","russia-white-list-1"],"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Compositio Mathematica","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G4908682990","display_name":null,"funder_award_id":"WA 3300/1-1","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"}],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4401915941.pdf","grobid_xml":"https://content.openalex.org/works/W4401915941.grobid-xml"},"referenced_works_count":56,"referenced_works":["https://openalex.org/W19439196","https://openalex.org/W44663037","https://openalex.org/W46869913","https://openalex.org/W76429091","https://openalex.org/W579587226","https://openalex.org/W1489998553","https://openalex.org/W1493580287","https://openalex.org/W1524878283","https://openalex.org/W1578848569","https://openalex.org/W1594900487","https://openalex.org/W1710818744","https://openalex.org/W1717428813","https://openalex.org/W1810734213","https://openalex.org/W1817800790","https://openalex.org/W1829449347","https://openalex.org/W1830996181","https://openalex.org/W1978884955","https://openalex.org/W2004748732","https://openalex.org/W2012997603","https://openalex.org/W2019047263","https://openalex.org/W2021585290","https://openalex.org/W2024706324","https://openalex.org/W2025869192","https://openalex.org/W2032765151","https://openalex.org/W2040998446","https://openalex.org/W2042450316","https://openalex.org/W2056181033","https://openalex.org/W2061940093","https://openalex.org/W2062510344","https://openalex.org/W2068772705","https://openalex.org/W2084447609","https://openalex.org/W2116397731","https://openalex.org/W2123907710","https://openalex.org/W2141826863","https://openalex.org/W2142164711","https://openalex.org/W2143546109","https://openalex.org/W2146755024","https://openalex.org/W2153702442","https://openalex.org/W2164252329","https://openalex.org/W2942754653","https://openalex.org/W2962925770","https://openalex.org/W2963822732","https://openalex.org/W2991246425","https://openalex.org/W3000376492","https://openalex.org/W3005564475","https://openalex.org/W3096575142","https://openalex.org/W3131088710","https://openalex.org/W4214867838","https://openalex.org/W4235138592","https://openalex.org/W4251206912","https://openalex.org/W4295358166","https://openalex.org/W4400642474","https://openalex.org/W4413966237","https://openalex.org/W6782308114","https://openalex.org/W6921282457","https://openalex.org/W6967048622"],"related_works":["https://openalex.org/W4377864430","https://openalex.org/W3011441605","https://openalex.org/W4400642474","https://openalex.org/W1748818792","https://openalex.org/W1575161198","https://openalex.org/W2942754653","https://openalex.org/W1710818744","https://openalex.org/W7096231205","https://openalex.org/W1530729474","https://openalex.org/W2950343627"],"abstract_inverted_index":{"The":[0,125],"loop":[1,29,116,133],"space":[2,11,30,47,134],"of":[3,17,35,42,48,62,67,83,101,122,143,166,169,175],"a":[4,22,53,71,81,86,144,188],"string":[5,114,194],"manifold":[6],"supports":[7],"an":[8,15],"infinite-dimensional":[9],"Fock":[10,123],"bundle,":[12,91],"which":[13],"is":[14,108,161],"analog":[16],"the":[18,33,40,45,49,60,65,98,119,129,148,164,170,173,176,184,192,196],"spinor":[19,26,130],"bundle":[20,27,41,57,82,131,190],"on":[21,28,55,128,132,191],"spin":[23],"manifold.":[24],"This":[25],"appears":[31],"in":[32],"description":[34],"two-dimensional":[36],"sigma":[37],"models":[38],"as":[39,80,141],"states":[43],"over":[44,85],"configuration":[46],"superstring.":[50],"We":[51],"construct":[52],"product":[54,95,127],"this":[56,75],"that":[58],"covers":[59],"fusion":[61,100,121,126],"loops,":[63],"i.e.":[64],"merging":[66],"two":[68],"loops":[69],"along":[70],"common":[72],"segment.":[73],"For":[74],"purpose,":[76],"we":[77],"exhibit":[78],"it":[79],"bimodules":[84],"certain":[87],"von":[88,102],"Neumann":[89,103],"algebra":[90],"and":[92,118,139,157,186],"realize":[93],"our":[94],"fibrewise":[96],"using":[97],"Connes":[99,120],"bimodules.":[104],"Our":[105],"main":[106],"technique":[107],"to":[109,146,163,172,183,187],"establish":[110],"novel":[111],"relations":[112],"between":[113,150],"structures,":[115],"fusion,":[117],"spaces.":[124],"was":[135],"proposed":[136],"by":[137],"Stolz":[138],"Teichner":[140],"part":[142],"programme":[145],"explore":[147],"relation":[149],"generalized":[151],"cohomology":[152],"theories,":[153,156],"functorial":[154,179],"field":[155,180],"index":[158],"theory.":[159],"It":[160],"related":[162],"pair":[165],"pants":[167],"worldsheet":[168],"superstring,":[171],"extension":[174],"corresponding":[177],"smooth":[178],"theory":[181],"down":[182],"point,":[185],"higher-categorical":[189],"underlying":[193],"manifold,":[195],"stringor":[197],"bundle.":[198]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1}],"updated_date":"2026-11-10T11:39:43.021295","created_date":"2024-08-28T00:00:00"}
