{"id":"https://openalex.org/W2035294983","doi":"https://doi.org/10.1137/s0363012997320298","title":"Interpolation Theory and Quantum Cohomology","display_name":"Interpolation Theory and Quantum Cohomology","publication_year":2000,"publication_date":"2000-01-01","ids":{"openalex":"https://openalex.org/W2035294983","doi":"https://doi.org/10.1137/s0363012997320298","mag":"2035294983"},"language":"en","primary_location":{"id":"doi:10.1137/s0363012997320298","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0363012997320298","pdf_url":null,"source":{"id":"https://openalex.org/S897311980","display_name":"SIAM Journal on Control and Optimization","issn_l":"0363-0129","issn":["0363-0129","1095-7138"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Control and Optimization","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/A5090646117","display_name":"M.S. Ravi","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"M. S. Ravi","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5090646117"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.0112,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.72328134,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"39","issue":"3","first_page":"981","last_page":"988"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10287","display_name":"Algebraic structures and combinatorial models","score":0.9998999834060669,"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/T10287","display_name":"Algebraic structures and combinatorial models","score":0.9998999834060669,"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/T11673","display_name":"Advanced Topics in Algebra","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"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":0.9993000030517578,"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/mathematics","display_name":"Mathematics","score":0.8536295294761658},{"id":"https://openalex.org/keywords/quantum-cohomology","display_name":"Quantum cohomology","score":0.6593852043151855},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.6332361698150635},{"id":"https://openalex.org/keywords/cohomology","display_name":"Cohomology","score":0.5817693471908569},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.529809832572937},{"id":"https://openalex.org/keywords/ring","display_name":"Ring (chemistry)","score":0.517417311668396},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.5160629153251648},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5079517960548401},{"id":"https://openalex.org/keywords/grassmannian","display_name":"Grassmannian","score":0.4695357084274292},{"id":"https://openalex.org/keywords/linear-interpolation","display_name":"Linear interpolation","score":0.4278979003429413},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.41882550716400146},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.29767507314682007},{"id":"https://openalex.org/keywords/equivariant-cohomology","display_name":"Equivariant cohomology","score":0.19814234972000122},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.06799465417861938}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8536295294761658},{"id":"https://openalex.org/C136660716","wikidata":"https://www.wikidata.org/wiki/Q7269022","display_name":"Quantum cohomology","level":4,"score":0.6593852043151855},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.6332361698150635},{"id":"https://openalex.org/C78606066","wikidata":"https://www.wikidata.org/wiki/Q1198376","display_name":"Cohomology","level":2,"score":0.5817693471908569},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.529809832572937},{"id":"https://openalex.org/C2780378348","wikidata":"https://www.wikidata.org/wiki/Q25351438","display_name":"Ring (chemistry)","level":2,"score":0.517417311668396},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.5160629153251648},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5079517960548401},{"id":"https://openalex.org/C162929932","wikidata":"https://www.wikidata.org/wiki/Q129638","display_name":"Grassmannian","level":2,"score":0.4695357084274292},{"id":"https://openalex.org/C171836373","wikidata":"https://www.wikidata.org/wiki/Q2266329","display_name":"Linear interpolation","level":3,"score":0.4278979003429413},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.41882550716400146},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.29767507314682007},{"id":"https://openalex.org/C72738302","wikidata":"https://www.wikidata.org/wiki/Q5384738","display_name":"Equivariant cohomology","level":3,"score":0.19814234972000122},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.06799465417861938},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.0},{"id":"https://openalex.org/C502989409","wikidata":"https://www.wikidata.org/wiki/Q11425","display_name":"Animation","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/s0363012997320298","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0363012997320298","pdf_url":null,"source":{"id":"https://openalex.org/S897311980","display_name":"SIAM Journal on Control and Optimization","issn_l":"0363-0129","issn":["0363-0129","1095-7138"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Control and Optimization","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities","score":0.5}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W1515192744","https://openalex.org/W1541171612","https://openalex.org/W1575606928","https://openalex.org/W1990917951","https://openalex.org/W2008415981","https://openalex.org/W2009524186","https://openalex.org/W2021311057","https://openalex.org/W2028328747","https://openalex.org/W2114827489","https://openalex.org/W2138148446","https://openalex.org/W2489016459","https://openalex.org/W2964028246"],"related_works":["https://openalex.org/W2952706324","https://openalex.org/W1661441591","https://openalex.org/W4226137577","https://openalex.org/W2950148772","https://openalex.org/W4298851289","https://openalex.org/W2291214609","https://openalex.org/W2149692535","https://openalex.org/W3183609115","https://openalex.org/W3097083683","https://openalex.org/W2985206855"],"abstract_inverted_index":{"We":[0,30],"show":[1],"that":[2],"the":[3,8,15,19,35,41],"quantum":[4,36],"cohomology":[5,37],"ring":[6,38],"of":[7,18,27,43],"Grassmannian":[9],"can":[10],"be":[11],"used":[12],"to":[13,21,39],"find":[14],"minimal":[16],"degree":[17],"solution":[20],"various":[22],"interpolation":[23,58],"problems":[24,52,61],"involving":[25],"matrices":[26],"rational":[28],"functions.":[29],"also":[31],"use":[32],"computations":[33],"in":[34,45],"formalize":[40],"notion":[42],"linearity":[44],"this":[46],"context":[47],"and":[48,56,59],"distinguish":[49],"between":[50],"linear":[51],"such":[53,62],"as":[54,63],"matrix":[55],"tangential":[57],"nonlinear":[60],"pole":[64],"placement.":[65]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}