{"id":"https://openalex.org/W1553661352","doi":"https://doi.org/10.48550/arxiv.math/0509532","title":"Homological Quantum Field Theory","display_name":"Homological Quantum Field Theory","publication_year":2005,"publication_date":"2005-09-22","ids":{"openalex":"https://openalex.org/W1553661352","doi":"https://doi.org/10.48550/arxiv.math/0509532","mag":"1553661352"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:math/0509532","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/math/0509532","pdf_url":"https://arxiv.org/pdf/math/0509532","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"},"volume":null,"type":"preprint","indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/math/0509532","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5103362425","display_name":"Edmundo Castillo","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Castillo, Edmundo","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5011024298","display_name":"Rafael D\u00edaz","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Diaz, Rafael","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":2,"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/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.9887999892234802,"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":0.9887999892234802,"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/T10304","display_name":"Geometric and Algebraic Topology","score":0.008899999782443047,"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/T10287","display_name":"Algebraic structures and combinatorial models","score":0.0008999999845400453,"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/string-topology","display_name":"string topology","score":0.6669999957084656},{"id":"https://openalex.org/keywords/compact-oriented-manifolds","display_name":"compact oriented manifolds","score":0.8119999766349792}],"concepts":[{"id":"https://openalex.org/C5961521","wikidata":"https://www.wikidata.org/wiki/Q746083","display_name":"Homotopy","level":2,"score":0.685052216053009},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6701083779335022},{"id":"https://openalex.org/C7503960","wikidata":"https://www.wikidata.org/wiki/Q721094","display_name":"Topological quantum field theory","level":2,"score":0.6099782586097717},{"id":"https://openalex.org/C2780130068","wikidata":"https://www.wikidata.org/wiki/Q2208651","display_name":"Transversal (combinatorics)","level":2,"score":0.5959764719009399},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5895133018493652},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.5590422749519348},{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.548957347869873},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.4709663689136505},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.4568217396736145},{"id":"https://openalex.org/C157486923","wikidata":"https://www.wikidata.org/wiki/Q1376436","display_name":"String (physics)","level":2,"score":0.44711583852767944},{"id":"https://openalex.org/C115047598","wikidata":"https://www.wikidata.org/wiki/Q54505","display_name":"Quantum field theory","level":2,"score":0.4453064501285553},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.4218064844608307},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.41920092701911926},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.41759198904037476},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.40339791774749756},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.20519492030143738},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.19706618785858154},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.14624270796775818},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.13396558165550232},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.12394371628761292},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.11440727114677429},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","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},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"pmh:oai:arXiv.org:math/0509532","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/math/0509532","pdf_url":"https://arxiv.org/pdf/math/0509532","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":"pmh:oai:CiteSeerX.psu:10.1.1.235.6696","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.235.6696","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/math/0509532v2.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.236.3436","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.236.3436","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/math/0509532v1.pdf","raw_type":"text"},{"id":"doi:10.48550/arxiv.math/0509532","doi":"https://doi.org/10.48550/arxiv.math/0509532","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.math/0509532","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":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:math/0509532","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/math/0509532","pdf_url":"https://arxiv.org/pdf/math/0509532","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"},"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":67,"referenced_works":["https://openalex.org/W135091152","https://openalex.org/W154961126","https://openalex.org/W392004996","https://openalex.org/W977868980","https://openalex.org/W1230759189","https://openalex.org/W1493602554","https://openalex.org/W1494599013","https://openalex.org/W1496339576","https://openalex.org/W1516850137","https://openalex.org/W1518561142","https://openalex.org/W1520510487","https://openalex.org/W1521147094","https://openalex.org/W1522494417","https://openalex.org/W1528414974","https://openalex.org/W1529786070","https://openalex.org/W1531804928","https://openalex.org/W1534018603","https://openalex.org/W1541946140","https://openalex.org/W1567120488","https://openalex.org/W1568281949","https://openalex.org/W1592859120","https://openalex.org/W1629982231","https://openalex.org/W1660885351","https://openalex.org/W1780974867","https://openalex.org/W1834545337","https://openalex.org/W1879469075","https://openalex.org/W1964716655","https://openalex.org/W1965567582","https://openalex.org/W1976811564","https://openalex.org/W2007185418","https://openalex.org/W2018973671","https://openalex.org/W2025704572","https://openalex.org/W2026088513","https://openalex.org/W2034225373","https://openalex.org/W2034265857","https://openalex.org/W2043232165","https://openalex.org/W2049452854","https://openalex.org/W2053492560","https://openalex.org/W2063687244","https://openalex.org/W2066560266","https://openalex.org/W2076401398","https://openalex.org/W2078407858","https://openalex.org/W2078426698","https://openalex.org/W2097616202","https://openalex.org/W2107078213","https://openalex.org/W2109060163","https://openalex.org/W2110399795","https://openalex.org/W2115194589","https://openalex.org/W2120713972","https://openalex.org/W2123907710","https://openalex.org/W2130762722","https://openalex.org/W2143965777","https://openalex.org/W2144591557","https://openalex.org/W2145021384","https://openalex.org/W2150829394","https://openalex.org/W2156682843","https://openalex.org/W2164252329","https://openalex.org/W2165201411","https://openalex.org/W2911278889","https://openalex.org/W2963194011","https://openalex.org/W2992621142","https://openalex.org/W3037360446","https://openalex.org/W3037739739","https://openalex.org/W3098380385","https://openalex.org/W3105802277","https://openalex.org/W3105845589","https://openalex.org/W4394639302"],"related_works":["https://openalex.org/W2271112932","https://openalex.org/W2772332644","https://openalex.org/W1850829540","https://openalex.org/W2165668644","https://openalex.org/W4210930530","https://openalex.org/W392004996","https://openalex.org/W4385474402","https://openalex.org/W2964057622","https://openalex.org/W426220799","https://openalex.org/W1999842078"],"abstract_inverted_index":{"We":[0,26,55],"show":[1],"that":[2],"the":[3,34,74],"space":[4,35,43],"of":[5,7,22,30,36,38,66,76,79,88],"chains":[6,37],"smooth":[8],"maps":[9,39],"from":[10,40],"spheres":[11],"into":[12,49],"a":[13,19,23,28,41,50],"fixed":[14,51],"compact":[15,52],"oriented":[16,53],"manifold":[17],"has":[18],"natural":[20],"structure":[21,29],"transversal":[24,31],"$d$-algebra.":[25],"construct":[27,63],"1-category":[32],"on":[33,73],"suspension":[42],"$S(Y)$,":[44],"with":[45],"certain":[46],"boundary":[47],"restrictions,":[48],"manifold.":[54],"define":[56],"homological":[57],"quantum":[58,85],"field":[59,86],"theories":[60,87],"\\HL":[61],"and":[62,81,83],"several":[64],"examples":[65],"such":[67],"structures.":[68],"Our":[69],"definition":[70],"is":[71],"based":[72],"notions":[75],"string":[77],"topology":[78],"Chas":[80],"Sullivan,":[82],"homotopy":[84],"Turaev.":[89]},"counts_by_year":[],"updated_date":"2026-10-16T09:59:22.235173","created_date":"2025-10-10T00:00:00"}
