{"id":"https://openalex.org/W2896542238","doi":"https://doi.org/10.1007/s41468-021-00073-3","title":"A computational framework for connection matrix theory","display_name":"A computational framework for connection matrix theory","publication_year":2021,"publication_date":"2021-05-31","ids":{"openalex":"https://openalex.org/W2896542238","doi":"https://doi.org/10.1007/s41468-021-00073-3","mag":"2896542238"},"language":"en","primary_location":{"id":"doi:10.1007/s41468-021-00073-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s41468-021-00073-3","pdf_url":null,"source":{"id":"https://openalex.org/S4210173698","display_name":"Journal of Applied and Computational Topology","issn_l":"2367-1726","issn":["2367-1726","2367-1734"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied and Computational Topology","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1810.04552","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5041889222","display_name":"Shaun Harker","orcid":null},"institutions":[{"id":"https://openalex.org/I102322142","display_name":"Rutgers, The State University of New Jersey","ror":"https://ror.org/05vt9qd57","country_code":"US","type":"education","lineage":["https://openalex.org/I102322142"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Shaun Harker","raw_affiliation_strings":["Department of Mathematics, Rutgers University, Piscataway, NJ 08854, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Rutgers University, Piscataway, NJ 08854, USA","institution_ids":["https://openalex.org/I102322142"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5049298090","display_name":"Konstantin Mischaikow","orcid":"https://orcid.org/0000-0003-2876-4558"},"institutions":[{"id":"https://openalex.org/I102322142","display_name":"Rutgers, The State University of New Jersey","ror":"https://ror.org/05vt9qd57","country_code":"US","type":"education","lineage":["https://openalex.org/I102322142"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Konstantin Mischaikow","raw_affiliation_strings":["Department of Mathematics, Rutgers University, Piscataway, NJ 08854, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Rutgers University, Piscataway, NJ 08854, USA","institution_ids":["https://openalex.org/I102322142"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5033899886","display_name":"Kelly Spendlove","orcid":"https://orcid.org/0000-0003-2577-5841"},"institutions":[{"id":"https://openalex.org/I40120149","display_name":"University of Oxford","ror":"https://ror.org/052gg0110","country_code":"GB","type":"education","lineage":["https://openalex.org/I40120149"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Kelly Spendlove","raw_affiliation_strings":["Mathematical Institute, University of Oxford, Oxford, Oxfordshire, OX2 6GG, UK"],"raw_orcid":"https://orcid.org/0000-0003-2577-5841","affiliations":[{"raw_affiliation_string":"Mathematical Institute, University of Oxford, Oxford, Oxfordshire, OX2 6GG, UK","institution_ids":["https://openalex.org/I40120149"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5033899886"],"corresponding_institution_ids":["https://openalex.org/I40120149"],"apc_list":{"value":2490,"currency":"EUR","value_usd":3090},"apc_paid":null,"fwci":0.9085,"has_fulltext":false,"cited_by_count":16,"citation_normalized_percentile":{"value":0.76992968,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"5","issue":"3","first_page":"459","last_page":"529"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"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":0.9958999752998352,"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/T11304","display_name":"Advanced Neuroimaging Techniques and Applications","score":0.9581000208854675,"subfield":{"id":"https://openalex.org/subfields/2741","display_name":"Radiology, Nuclear Medicine and Imaging"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/connection","display_name":"Connection (principal bundle)","score":0.7577539086341858},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7236347794532776},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.5246701240539551},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.4918246269226074},{"id":"https://openalex.org/keywords/morse-theory","display_name":"Morse theory","score":0.4824717342853546},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4765932261943817},{"id":"https://openalex.org/keywords/discrete-morse-theory","display_name":"Discrete Morse theory","score":0.4458162784576416},{"id":"https://openalex.org/keywords/homotopy","display_name":"Homotopy","score":0.4212762713432312},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3663887083530426},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.11377483606338501}],"concepts":[{"id":"https://openalex.org/C13355873","wikidata":"https://www.wikidata.org/wiki/Q2920850","display_name":"Connection (principal bundle)","level":2,"score":0.7577539086341858},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7236347794532776},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.5246701240539551},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.4918246269226074},{"id":"https://openalex.org/C156730297","wikidata":"https://www.wikidata.org/wiki/Q2296951","display_name":"Morse theory","level":2,"score":0.4824717342853546},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4765932261943817},{"id":"https://openalex.org/C170315498","wikidata":"https://www.wikidata.org/wiki/Q5282039","display_name":"Discrete Morse theory","level":3,"score":0.4458162784576416},{"id":"https://openalex.org/C5961521","wikidata":"https://www.wikidata.org/wiki/Q746083","display_name":"Homotopy","level":2,"score":0.4212762713432312},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3663887083530426},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.11377483606338501},{"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/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s41468-021-00073-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s41468-021-00073-3","pdf_url":null,"source":{"id":"https://openalex.org/S4210173698","display_name":"Journal of Applied and Computational Topology","issn_l":"2367-1726","issn":["2367-1726","2367-1734"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied and Computational Topology","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1810.04552","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1810.04552","pdf_url":"https://arxiv.org/pdf/1810.04552","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1810.04552","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1810.04552","pdf_url":"https://arxiv.org/pdf/1810.04552","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":[],"awards":[{"id":"https://openalex.org/G6066696820","display_name":null,"funder_award_id":"EP/R018472/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320332161","display_name":"National Institutes of Health","ror":"https://ror.org/01cwqze88"},{"id":"https://openalex.org/F4320332180","display_name":"Defense Advanced Research Projects Agency","ror":"https://ror.org/02caytj08"},{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":47,"referenced_works":["https://openalex.org/W162901799","https://openalex.org/W327529882","https://openalex.org/W616063655","https://openalex.org/W1009866725","https://openalex.org/W1490793888","https://openalex.org/W1501274325","https://openalex.org/W1854483221","https://openalex.org/W1866328638","https://openalex.org/W1941135315","https://openalex.org/W1968614010","https://openalex.org/W1985198994","https://openalex.org/W1991948908","https://openalex.org/W1995257337","https://openalex.org/W2002165972","https://openalex.org/W2004406097","https://openalex.org/W2025892619","https://openalex.org/W2028617788","https://openalex.org/W2046250019","https://openalex.org/W2066833220","https://openalex.org/W2070905606","https://openalex.org/W2072958652","https://openalex.org/W2081449875","https://openalex.org/W2082764902","https://openalex.org/W2093397547","https://openalex.org/W2133227973","https://openalex.org/W2140082096","https://openalex.org/W2140530791","https://openalex.org/W2261585608","https://openalex.org/W2314752401","https://openalex.org/W2316187542","https://openalex.org/W2574983198","https://openalex.org/W2619870690","https://openalex.org/W2805288495","https://openalex.org/W2888851372","https://openalex.org/W2963094436","https://openalex.org/W3022636856","https://openalex.org/W3099422512","https://openalex.org/W3106270234","https://openalex.org/W4212928962","https://openalex.org/W4248828294","https://openalex.org/W4255383393","https://openalex.org/W4292165935","https://openalex.org/W6600721425","https://openalex.org/W6605030782","https://openalex.org/W6607013610","https://openalex.org/W6609687465","https://openalex.org/W6832735735"],"related_works":["https://openalex.org/W2783889900","https://openalex.org/W1600748172","https://openalex.org/W4298339383","https://openalex.org/W2950979503","https://openalex.org/W2983805230","https://openalex.org/W2562584515","https://openalex.org/W2157522479","https://openalex.org/W2964070136","https://openalex.org/W2329974108","https://openalex.org/W1570709078"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":7},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}