{"id":"https://openalex.org/W1964906934","doi":"https://doi.org/10.1142/s0218654394000098","title":"ON COMPUTATION HOCHSCHILD AND CYCLIC HOMOLOGY OF HOMOGENEOUS SPACES","display_name":"ON COMPUTATION HOCHSCHILD AND CYCLIC HOMOLOGY OF HOMOGENEOUS SPACES","publication_year":1994,"publication_date":"1994-12-01","ids":{"openalex":"https://openalex.org/W1964906934","doi":"https://doi.org/10.1142/s0218654394000098","mag":"1964906934"},"language":"en","primary_location":{"id":"doi:10.1142/s0218654394000098","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218654394000098","pdf_url":null,"source":{"id":"https://openalex.org/S68340538","display_name":"International Journal of Shape Modeling","issn_l":"0218-6543","issn":["0218-6543","1793-639X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Shape Modeling","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"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/A5013027370","display_name":"Yu. Solovyov","orcid":null},"institutions":[{"id":"https://openalex.org/I19880235","display_name":"Lomonosov Moscow State University","ror":"https://ror.org/010pmpe69","country_code":"RU","type":"education","lineage":["https://openalex.org/I19880235"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"YU. P. SOLOVYOV","raw_affiliation_strings":["Department of Geometry and Topology, Faculty of Mechanics and Mathematics, Moscow State University, Leninskie Goru 119899, Moscow, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Geometry and Topology, Faculty of Mechanics and Mathematics, Moscow State University, Leninskie Goru 119899, Moscow, Russia","institution_ids":["https://openalex.org/I19880235"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5013027370"],"corresponding_institution_ids":["https://openalex.org/I19880235"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.07622505,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"01","issue":"02","first_page":"119","last_page":"139"},"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":0.9987999796867371,"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":0.9987999796867371,"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/T11538","display_name":"Ophthalmology and Eye Disorders","score":0.9807000160217285,"subfield":{"id":"https://openalex.org/subfields/2734","display_name":"Pathology and Forensic Medicine"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T10899","display_name":"Advanced Operator Algebra Research","score":0.9801999926567078,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/hochschild-homology","display_name":"Hochschild homology","score":0.8954574465751648},{"id":"https://openalex.org/keywords/cyclic-homology","display_name":"Cyclic homology","score":0.8141327500343323},{"id":"https://openalex.org/keywords/homology","display_name":"Homology (biology)","score":0.6639409065246582},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6235588788986206},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.6037598252296448},{"id":"https://openalex.org/keywords/diffeomorphism","display_name":"Diffeomorphism","score":0.5930482745170593},{"id":"https://openalex.org/keywords/geodesic","display_name":"Geodesic","score":0.5831363201141357},{"id":"https://openalex.org/keywords/singular-homology","display_name":"Singular homology","score":0.5675546526908875},{"id":"https://openalex.org/keywords/relative-homology","display_name":"Relative homology","score":0.5602613687515259},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5094428658485413},{"id":"https://openalex.org/keywords/cellular-homology","display_name":"Cellular homology","score":0.5002825260162354},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.49759772419929504},{"id":"https://openalex.org/keywords/morse-homology","display_name":"Morse homology","score":0.4399604797363281},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.2685784101486206},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.1701829433441162},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.15944987535476685},{"id":"https://openalex.org/keywords/cohomology","display_name":"Cohomology","score":0.139952152967453},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.11687082052230835},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.09561744332313538},{"id":"https://openalex.org/keywords/genetics","display_name":"Genetics","score":0.06644821166992188},{"id":"https://openalex.org/keywords/amino-acid","display_name":"Amino acid","score":0.052682697772979736}],"concepts":[{"id":"https://openalex.org/C2776648750","wikidata":"https://www.wikidata.org/wiki/Q1622047","display_name":"Hochschild homology","level":3,"score":0.8954574465751648},{"id":"https://openalex.org/C202833876","wikidata":"https://www.wikidata.org/wiki/Q939179","display_name":"Cyclic homology","level":3,"score":0.8141327500343323},{"id":"https://openalex.org/C165525559","wikidata":"https://www.wikidata.org/wiki/Q224180","display_name":"Homology (biology)","level":3,"score":0.6639409065246582},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6235588788986206},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.6037598252296448},{"id":"https://openalex.org/C47556283","wikidata":"https://www.wikidata.org/wiki/Q1058314","display_name":"Diffeomorphism","level":2,"score":0.5930482745170593},{"id":"https://openalex.org/C165818556","wikidata":"https://www.wikidata.org/wiki/Q213488","display_name":"Geodesic","level":2,"score":0.5831363201141357},{"id":"https://openalex.org/C139962677","wikidata":"https://www.wikidata.org/wiki/Q1095056","display_name":"Singular homology","level":3,"score":0.5675546526908875},{"id":"https://openalex.org/C79536532","wikidata":"https://www.wikidata.org/wiki/Q1959911","display_name":"Relative homology","level":3,"score":0.5602613687515259},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5094428658485413},{"id":"https://openalex.org/C55537702","wikidata":"https://www.wikidata.org/wiki/Q3139849","display_name":"Cellular homology","level":3,"score":0.5002825260162354},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.49759772419929504},{"id":"https://openalex.org/C135783237","wikidata":"https://www.wikidata.org/wiki/Q3139850","display_name":"Morse homology","level":4,"score":0.4399604797363281},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.2685784101486206},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.1701829433441162},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.15944987535476685},{"id":"https://openalex.org/C78606066","wikidata":"https://www.wikidata.org/wiki/Q1198376","display_name":"Cohomology","level":2,"score":0.139952152967453},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.11687082052230835},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.09561744332313538},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.06644821166992188},{"id":"https://openalex.org/C515207424","wikidata":"https://www.wikidata.org/wiki/Q8066","display_name":"Amino acid","level":2,"score":0.052682697772979736}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218654394000098","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218654394000098","pdf_url":null,"source":{"id":"https://openalex.org/S68340538","display_name":"International Journal of Shape Modeling","issn_l":"0218-6543","issn":["0218-6543","1793-639X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Shape Modeling","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W602209003","https://openalex.org/W2098781666","https://openalex.org/W1536563720","https://openalex.org/W2028446190","https://openalex.org/W4290002622","https://openalex.org/W2964011615","https://openalex.org/W2030494109","https://openalex.org/W2979152511","https://openalex.org/W2145022655","https://openalex.org/W2058791242"],"abstract_inverted_index":{"Cyclic":[0],"and":[1,28,31,42,52,61,90],"Hochschild":[2,62,77],"homology":[3,46,54,63,78,98],"HH*(X),":[4],"HC*(X)":[5,43],"of":[6,15,21,47,55,68,76,85,96,104,106,115,119,125],"a":[7,48,70],"topological":[8,117],"space":[9,51],"X":[10],"has":[11],"appeared":[12],"to":[13,41,44],"be":[14,39,110],"wide":[16],"interest":[17],"since":[18],"the":[19,22,53,56,65,83,102,113],"publication":[20],"papers":[23],"by":[24],"Burghelea":[25,27],"[5],":[26],"Fiedorowicz":[29],"[6],":[30],"Goodwillie":[32],"[12].":[33],"As":[34],"far":[35],"as":[36],"HH*(X)":[37],"can":[38],"identified":[40],"(the":[45],"free":[49,71],"loop":[50,72],"associated":[57],"bundle":[58],"[12]),":[59],"cyclic":[60,97],"provide":[64],"powerful":[66],"technique":[67],"studying":[69],"space.":[73],"The":[74,94],"computation":[75,95],"is":[79,99,120],"closely":[80],"connected":[81,100],"with":[82,101],"investigation":[84,114],"closed":[86],"geodesics":[87],"on":[88],"manifolds":[89],"related":[91],"dynamical":[92],"systems.":[93],"groups":[103],"diffeomorphism":[105],"manifolds.":[107],"It":[108],"should":[109],"mentioned":[111],"that":[112],"various":[116],"invariants":[118],"very":[121],"important":[122],"in":[123,128],"view":[124],"their":[126],"role":[127],"mathematical":[129],"physics":[130],"[27].":[131]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
