{"id":"https://openalex.org/W2625714286","doi":"https://doi.org/10.4310/cag.1994.v2.n2.a6","title":"$\\mathbf{R/Z}$ index theory","display_name":"$\\mathbf{R/Z}$ index theory","publication_year":1994,"publication_date":"1994-01-01","ids":{"openalex":"https://openalex.org/W2625714286","doi":"https://doi.org/10.4310/cag.1994.v2.n2.a6","mag":"2625714286"},"language":"en","primary_location":{"id":"doi:10.4310/cag.1994.v2.n2.a6","doi":"https://doi.org/10.4310/cag.1994.v2.n2.a6","is_oa":true,"landing_page_url":"https://doi.org/10.4310/cag.1994.v2.n2.a6","pdf_url":"http://www.intlpress.com/site/pub/files/_fulltext/journals/cag/1994/0002/0002/CAG-1994-0002-0002-a006.pdf","source":{"id":"https://openalex.org/S56040934","display_name":"Communications in Analysis and Geometry","issn_l":"1019-8385","issn":["1019-8385","1944-9992"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-2","norway-1","poland-140","russia-white-list-2"],"host_organization":"https://openalex.org/P4327904645","host_organization_name":"International Press of Boston","host_organization_lineage":["https://openalex.org/P4327904645"],"host_organization_lineage_names":["International Press of Boston"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Communications in Analysis and Geometry","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"http://www.intlpress.com/site/pub/files/_fulltext/journals/cag/1994/0002/0002/CAG-1994-0002-0002-a006.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"John Lott","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"John Lott","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":0.0,"has_fulltext":true,"cited_by_count":50,"citation_normalized_percentile":{"value":0.3359244,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":98},"biblio":{"volume":"2","issue":"2","first_page":"279","last_page":"311"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10899","display_name":"Advanced Operator Algebra Research","score":0.5419999957084656,"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/T10899","display_name":"Advanced Operator Algebra Research","score":0.5419999957084656,"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":0.17980000376701355,"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":0.041999999433755875,"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/index-theory","display_name":"index theory","score":0.5080000162124634},{"id":"https://openalex.org/keywords/topological-indices","display_name":"topological indices","score":0.4350000023841858},{"id":"https://openalex.org/keywords/dirac-operator","display_name":"Dirac operator","score":0.375}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8078397512435913},{"id":"https://openalex.org/C2777382242","wikidata":"https://www.wikidata.org/wiki/Q6017816","display_name":"Index (typography)","level":2,"score":0.7336032390594482},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.42037999629974365},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.058058708906173706},{"id":"https://openalex.org/C136764020","wikidata":"https://www.wikidata.org/wiki/Q466","display_name":"World Wide Web","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.4310/cag.1994.v2.n2.a6","doi":"https://doi.org/10.4310/cag.1994.v2.n2.a6","is_oa":true,"landing_page_url":"https://doi.org/10.4310/cag.1994.v2.n2.a6","pdf_url":"http://www.intlpress.com/site/pub/files/_fulltext/journals/cag/1994/0002/0002/CAG-1994-0002-0002-a006.pdf","source":{"id":"https://openalex.org/S56040934","display_name":"Communications in Analysis and Geometry","issn_l":"1019-8385","issn":["1019-8385","1944-9992"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-2","norway-1","poland-140","russia-white-list-2"],"host_organization":"https://openalex.org/P4327904645","host_organization_name":"International Press of Boston","host_organization_lineage":["https://openalex.org/P4327904645"],"host_organization_lineage_names":["International Press of Boston"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Communications in Analysis and Geometry","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.4310/cag.1994.v2.n2.a6","doi":"https://doi.org/10.4310/cag.1994.v2.n2.a6","is_oa":true,"landing_page_url":"https://doi.org/10.4310/cag.1994.v2.n2.a6","pdf_url":"http://www.intlpress.com/site/pub/files/_fulltext/journals/cag/1994/0002/0002/CAG-1994-0002-0002-a006.pdf","source":{"id":"https://openalex.org/S56040934","display_name":"Communications in Analysis and Geometry","issn_l":"1019-8385","issn":["1019-8385","1944-9992"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-2","norway-1","poland-140","russia-white-list-2"],"host_organization":"https://openalex.org/P4327904645","host_organization_name":"International Press of Boston","host_organization_lineage":["https://openalex.org/P4327904645"],"host_organization_lineage_names":["International Press of Boston"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Communications in Analysis and Geometry","raw_type":"journal-article"},"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2625714286.pdf","grobid_xml":"https://content.openalex.org/works/W2625714286.grobid-xml"},"referenced_works_count":16,"referenced_works":["https://openalex.org/W1484198940","https://openalex.org/W1573091022","https://openalex.org/W1964511441","https://openalex.org/W2000391578","https://openalex.org/W2006663172","https://openalex.org/W2007579992","https://openalex.org/W2039796501","https://openalex.org/W2060588344","https://openalex.org/W2070092896","https://openalex.org/W2086055285","https://openalex.org/W2095424311","https://openalex.org/W2315529996","https://openalex.org/W2327361374","https://openalex.org/W3047769892","https://openalex.org/W4248945936","https://openalex.org/W4250056050"],"related_works":["https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1587224694","https://openalex.org/W2042127053","https://openalex.org/W2142036596","https://openalex.org/W2072657027"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":4}],"updated_date":"2026-10-12T09:40:04.860316","created_date":"2025-10-10T00:00:00"}