{"id":"https://openalex.org/W2904530100","doi":"https://doi.org/10.3390/sym11070880","title":"A Poisson Algebra for Abelian Yang-Mills Fields on Riemannian Manifolds with Boundary","display_name":"A Poisson Algebra for Abelian Yang-Mills Fields on Riemannian Manifolds with Boundary","publication_year":2019,"publication_date":"2019-07-04","ids":{"openalex":"https://openalex.org/W2904530100","doi":"https://doi.org/10.3390/sym11070880","mag":"2904530100"},"language":"en","primary_location":{"id":"doi:10.3390/sym11070880","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym11070880","pdf_url":"https://www.mdpi.com/2073-8994/11/7/880/pdf?version=1562237030","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2073-8994/11/7/880/pdf?version=1562237030","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5055932336","display_name":"Homero G. D\u00edaz-Mar\u00edn","orcid":"https://orcid.org/0000-0002-2453-9049"},"institutions":[{"id":"https://openalex.org/I173755004","display_name":"Universidad Michoacana de San Nicol\u00e1s de Hidalgo","ror":"https://ror.org/00z0kq074","country_code":"MX","type":"education","lineage":["https://openalex.org/I173755004"]}],"countries":["MX"],"is_corresponding":true,"raw_author_name":"Homero G. D\u00edaz-Mar\u00edn","raw_affiliation_strings":["Facultad de Ciencias F\u00edsico-Matem\u00e1ticas, Universidad Michoacana de San Nicol\u00e1s de Hidalgo, Morelia C.P. 58060, Mexico","Universidad Michoacana de San Nicolas de Hidalgo;"],"raw_orcid":"https://orcid.org/0000-0002-2453-9049","affiliations":[{"raw_affiliation_string":"Facultad de Ciencias F\u00edsico-Matem\u00e1ticas, Universidad Michoacana de San Nicol\u00e1s de Hidalgo, Morelia C.P. 58060, Mexico","institution_ids":["https://openalex.org/I173755004"]},{"raw_affiliation_string":"Universidad Michoacana de San Nicolas de Hidalgo;","institution_ids":["https://openalex.org/I173755004"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5055932336"],"corresponding_institution_ids":["https://openalex.org/I173755004"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":0.4249,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.82007823,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"11","issue":"7","first_page":"880","last_page":"880"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10025","display_name":"Black Holes and Theoretical Physics","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/3106","display_name":"Nuclear and High Energy Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10025","display_name":"Black Holes and Theoretical Physics","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/3106","display_name":"Nuclear and High Energy Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10248","display_name":"Nonlinear Waves and Solitons","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"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":0.9983000159263611,"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/poisson-algebra","display_name":"Poisson algebra","score":0.7637161612510681},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7623668909072876},{"id":"https://openalex.org/keywords/abelian-group","display_name":"Abelian group","score":0.7290204167366028},{"id":"https://openalex.org/keywords/observable","display_name":"Observable","score":0.6057416200637817},{"id":"https://openalex.org/keywords/poisson-bracket","display_name":"Poisson bracket","score":0.54557204246521},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.5088601112365723},{"id":"https://openalex.org/keywords/poisson-distribution","display_name":"Poisson distribution","score":0.502326250076294},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.46007993817329407},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.45186948776245117},{"id":"https://openalex.org/keywords/poisson-manifold","display_name":"Poisson manifold","score":0.4456082284450531},{"id":"https://openalex.org/keywords/conserved-current","display_name":"Conserved current","score":0.4402819573879242},{"id":"https://openalex.org/keywords/gauge-theory","display_name":"Gauge theory","score":0.41888725757598877},{"id":"https://openalex.org/keywords/current","display_name":"Current (fluid)","score":0.41710013151168823},{"id":"https://openalex.org/keywords/riemannian-manifold","display_name":"Riemannian manifold","score":0.4113461673259735},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.34426409006118774},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.33944880962371826},{"id":"https://openalex.org/keywords/symplectic-geometry","display_name":"Symplectic geometry","score":0.17907527089118958},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.15666237473487854},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.0722791850566864},{"id":"https://openalex.org/keywords/lagrangian","display_name":"Lagrangian","score":0.0695333182811737},{"id":"https://openalex.org/keywords/lie-algebra","display_name":"Lie algebra","score":0.06721693277359009}],"concepts":[{"id":"https://openalex.org/C4161247","wikidata":"https://www.wikidata.org/wiki/Q11143305","display_name":"Poisson algebra","level":4,"score":0.7637161612510681},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7623668909072876},{"id":"https://openalex.org/C136170076","wikidata":"https://www.wikidata.org/wiki/Q181296","display_name":"Abelian group","level":2,"score":0.7290204167366028},{"id":"https://openalex.org/C32848918","wikidata":"https://www.wikidata.org/wiki/Q845789","display_name":"Observable","level":2,"score":0.6057416200637817},{"id":"https://openalex.org/C188845816","wikidata":"https://www.wikidata.org/wiki/Q1052775","display_name":"Poisson bracket","level":3,"score":0.54557204246521},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.5088601112365723},{"id":"https://openalex.org/C100906024","wikidata":"https://www.wikidata.org/wiki/Q205692","display_name":"Poisson distribution","level":2,"score":0.502326250076294},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.46007993817329407},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.45186948776245117},{"id":"https://openalex.org/C197375991","wikidata":"https://www.wikidata.org/wiki/Q1464936","display_name":"Poisson manifold","level":3,"score":0.4456082284450531},{"id":"https://openalex.org/C206237540","wikidata":"https://www.wikidata.org/wiki/Q5163158","display_name":"Conserved current","level":4,"score":0.4402819573879242},{"id":"https://openalex.org/C181830111","wikidata":"https://www.wikidata.org/wiki/Q214850","display_name":"Gauge theory","level":2,"score":0.41888725757598877},{"id":"https://openalex.org/C148043351","wikidata":"https://www.wikidata.org/wiki/Q4456944","display_name":"Current (fluid)","level":2,"score":0.41710013151168823},{"id":"https://openalex.org/C2779593128","wikidata":"https://www.wikidata.org/wiki/Q632814","display_name":"Riemannian manifold","level":2,"score":0.4113461673259735},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.34426409006118774},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.33944880962371826},{"id":"https://openalex.org/C168619227","wikidata":"https://www.wikidata.org/wiki/Q2190991","display_name":"Symplectic geometry","level":2,"score":0.17907527089118958},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.15666237473487854},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0722791850566864},{"id":"https://openalex.org/C53469067","wikidata":"https://www.wikidata.org/wiki/Q505735","display_name":"Lagrangian","level":2,"score":0.0695333182811737},{"id":"https://openalex.org/C51568863","wikidata":"https://www.wikidata.org/wiki/Q664495","display_name":"Lie algebra","level":2,"score":0.06721693277359009},{"id":"https://openalex.org/C80892491","wikidata":"https://www.wikidata.org/wiki/Q578555","display_name":"Noether's theorem","level":3,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.3390/sym11070880","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym11070880","pdf_url":"https://www.mdpi.com/2073-8994/11/7/880/pdf?version=1562237030","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1812.02889","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1812.02889","pdf_url":"https://arxiv.org/pdf/1812.02889","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"},{"id":"mag:2904530100","is_oa":true,"landing_page_url":"http://export.arxiv.org/pdf/1812.02889","pdf_url":null,"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":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:doaj.org/article:ce7ab1537f0d436ba832c0e28e04c0a1","is_oa":true,"landing_page_url":"https://doaj.org/article/ce7ab1537f0d436ba832c0e28e04c0a1","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symmetry, Vol 11, Iss 7, p 880 (2019)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2073-8994/11/7/880/","is_oa":true,"landing_page_url":"http://dx.doi.org/10.3390/sym11070880","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symmetry","raw_type":"Text"},{"id":"doi:10.48550/arxiv.1812.02889","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1812.02889","pdf_url":null,"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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/sym11070880","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym11070880","pdf_url":"https://www.mdpi.com/2073-8994/11/7/880/pdf?version=1562237030","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3476374799","display_name":null,"funder_award_id":"38142","funder_id":"https://openalex.org/F4320321739","funder_display_name":"Consejo Nacional de Ciencia y Tecnolog\u00eda"}],"funders":[{"id":"https://openalex.org/F4320321739","display_name":"Consejo Nacional de Ciencia y Tecnolog\u00eda","ror":"https://ror.org/059ex5q34"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2904530100.pdf","grobid_xml":"https://content.openalex.org/works/W2904530100.grobid-xml"},"referenced_works_count":27,"referenced_works":["https://openalex.org/W34126534","https://openalex.org/W655569131","https://openalex.org/W1532551022","https://openalex.org/W1547901421","https://openalex.org/W1573927207","https://openalex.org/W1580029725","https://openalex.org/W1971951217","https://openalex.org/W1972545362","https://openalex.org/W1976283880","https://openalex.org/W1978882646","https://openalex.org/W1996231599","https://openalex.org/W2085253461","https://openalex.org/W2088627817","https://openalex.org/W2090952208","https://openalex.org/W2105146991","https://openalex.org/W2157468270","https://openalex.org/W2167952156","https://openalex.org/W2608490826","https://openalex.org/W2781445873","https://openalex.org/W2891482076","https://openalex.org/W2962779612","https://openalex.org/W3149872768","https://openalex.org/W4229672964","https://openalex.org/W4238691109","https://openalex.org/W4292023748","https://openalex.org/W6649223403","https://openalex.org/W6793424216"],"related_works":["https://openalex.org/W2090813416","https://openalex.org/W2045865054","https://openalex.org/W1968120481","https://openalex.org/W1994283825","https://openalex.org/W1582804016","https://openalex.org/W1978688897","https://openalex.org/W3102842395","https://openalex.org/W1999527701","https://openalex.org/W3092810279","https://openalex.org/W2070087290","https://openalex.org/W2949817572","https://openalex.org/W1980847938","https://openalex.org/W3100384444","https://openalex.org/W95476868","https://openalex.org/W2047635027","https://openalex.org/W2156470977","https://openalex.org/W2016435535","https://openalex.org/W2139238678","https://openalex.org/W2171641458","https://openalex.org/W1999962142"],"abstract_inverted_index":{"We":[0],"define":[1],"a":[2,28,57],"family":[3],"of":[4,31,38,56],"observables":[5],"for":[6],"abelian":[7],"Yang-Mills":[8],"fields":[9],"associated":[10],"to":[11],"compact":[12],"regions":[13],"U":[14],"\u2286":[15],"M":[16],"with":[17],"smooth":[18],"boundary":[19],"in":[20,47],"Riemannian":[21],"manifolds.":[22],"Each":[23],"observable":[24],"is":[25],"parametrized":[26],"by":[27],"first":[29],"variation":[30],"solutions":[32],"and":[33],"arises":[34],"as":[35],"the":[36,48,54],"integration":[37,55],"gauge":[39],"invariant":[40],"conserved":[41],"current":[42],"along":[43],"admissible":[44],"hypersurfaces":[45],"contained":[46],"region.":[49],"The":[50],"Poisson":[51],"bracket":[52],"uses":[53],"canonical":[58],"multisymplectic":[59],"current.":[60]},"counts_by_year":[{"year":2022,"cited_by_count":1}],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2022-08-01T00:00:00"}
