{"id":"https://openalex.org/W3009625128","doi":"https://doi.org/10.1080/10586458.2020.1727798","title":"A Discrete Extrinsic and Intrinsic Dirac Operator","display_name":"A Discrete Extrinsic and Intrinsic Dirac Operator","publication_year":2020,"publication_date":"2020-03-03","ids":{"openalex":"https://openalex.org/W3009625128","doi":"https://doi.org/10.1080/10586458.2020.1727798","mag":"3009625128"},"language":"en","primary_location":{"id":"doi:10.1080/10586458.2020.1727798","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10586458.2020.1727798","pdf_url":null,"source":{"id":"https://openalex.org/S119636414","display_name":"Experimental Mathematics","issn_l":"1058-6458","issn":["1058-6458","1944-950X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Experimental Mathematics","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/A5020935099","display_name":"Tim Hoffmann","orcid":"https://orcid.org/0009-0008-9998-0868"},"institutions":[{"id":"https://openalex.org/I62916508","display_name":"Technical University of Munich","ror":"https://ror.org/02kkvpp62","country_code":"DE","type":"education","lineage":["https://openalex.org/I62916508"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Tim Hoffmann","raw_affiliation_strings":["Department of Mathematics, Technical University of Munich, Garching bei M\u00fcnchen, Germany"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Technical University of Munich, Garching bei M\u00fcnchen, Germany","institution_ids":["https://openalex.org/I62916508"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100341723","display_name":"Zi Ye","orcid":"https://orcid.org/0000-0003-1582-6991"},"institutions":[{"id":"https://openalex.org/I62916508","display_name":"Technical University of Munich","ror":"https://ror.org/02kkvpp62","country_code":"DE","type":"education","lineage":["https://openalex.org/I62916508"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Zi Ye","raw_affiliation_strings":["Department of Mathematics, Technical University of Munich, Garching bei M\u00fcnchen, Germany"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Technical University of Munich, Garching bei M\u00fcnchen, Germany","institution_ids":["https://openalex.org/I62916508"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5100341723"],"corresponding_institution_ids":["https://openalex.org/I62916508"],"apc_list":null,"apc_paid":null,"fwci":0.2995,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.48148942,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":96},"biblio":{"volume":"31","issue":"3","first_page":"920","last_page":"935"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11558","display_name":"Composite Material Mechanics","score":0.9983999729156494,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11558","display_name":"Composite Material Mechanics","score":0.9983999729156494,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12037","display_name":"Algebraic and Geometric Analysis","score":0.9972000122070312,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9959999918937683,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8031466603279114},{"id":"https://openalex.org/keywords/dirac-operator","display_name":"Dirac operator","score":0.7913654446601868},{"id":"https://openalex.org/keywords/differential-operator","display_name":"Differential operator","score":0.5998896360397339},{"id":"https://openalex.org/keywords/conformal-map","display_name":"Conformal map","score":0.5769288539886475},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.5507487058639526},{"id":"https://openalex.org/keywords/dirac","display_name":"Dirac (video compression format)","score":0.5223713517189026},{"id":"https://openalex.org/keywords/immersion","display_name":"Immersion (mathematics)","score":0.4710419476032257},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.47027236223220825},{"id":"https://openalex.org/keywords/differential-geometry","display_name":"Differential geometry","score":0.46105945110321045},{"id":"https://openalex.org/keywords/dirac-algebra","display_name":"Dirac algebra","score":0.423145592212677},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3618323802947998},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.27676117420196533},{"id":"https://openalex.org/keywords/dirac-equation","display_name":"Dirac equation","score":0.27162986993789673},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.18848511576652527},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.12564027309417725}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8031466603279114},{"id":"https://openalex.org/C158650840","wikidata":"https://www.wikidata.org/wiki/Q907439","display_name":"Dirac operator","level":2,"score":0.7913654446601868},{"id":"https://openalex.org/C70915906","wikidata":"https://www.wikidata.org/wiki/Q1058681","display_name":"Differential operator","level":2,"score":0.5998896360397339},{"id":"https://openalex.org/C98214594","wikidata":"https://www.wikidata.org/wiki/Q850275","display_name":"Conformal map","level":2,"score":0.5769288539886475},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.5507487058639526},{"id":"https://openalex.org/C61039578","wikidata":"https://www.wikidata.org/wiki/Q604279","display_name":"Dirac (video compression format)","level":3,"score":0.5223713517189026},{"id":"https://openalex.org/C199068039","wikidata":"https://www.wikidata.org/wiki/Q574523","display_name":"Immersion (mathematics)","level":2,"score":0.4710419476032257},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.47027236223220825},{"id":"https://openalex.org/C192939610","wikidata":"https://www.wikidata.org/wiki/Q188444","display_name":"Differential geometry","level":2,"score":0.46105945110321045},{"id":"https://openalex.org/C149545384","wikidata":"https://www.wikidata.org/wiki/Q5280160","display_name":"Dirac algebra","level":3,"score":0.423145592212677},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3618323802947998},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.27676117420196533},{"id":"https://openalex.org/C82601208","wikidata":"https://www.wikidata.org/wiki/Q272621","display_name":"Dirac equation","level":2,"score":0.27162986993789673},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.18848511576652527},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12564027309417725},{"id":"https://openalex.org/C186453547","wikidata":"https://www.wikidata.org/wiki/Q2126","display_name":"Neutrino","level":2,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/10586458.2020.1727798","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10586458.2020.1727798","pdf_url":null,"source":{"id":"https://openalex.org/S119636414","display_name":"Experimental Mathematics","issn_l":"1058-6458","issn":["1058-6458","1944-950X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Experimental Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","score":0.5099999904632568,"display_name":"Sustainable cities and communities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W1518502469","https://openalex.org/W1560903854","https://openalex.org/W1710489704","https://openalex.org/W1866690546","https://openalex.org/W1967658353","https://openalex.org/W1969246995","https://openalex.org/W1993272741","https://openalex.org/W2001280451","https://openalex.org/W2011049085","https://openalex.org/W2077647528","https://openalex.org/W2246998535","https://openalex.org/W2338883001","https://openalex.org/W2810781983","https://openalex.org/W2948325429","https://openalex.org/W2963265251","https://openalex.org/W2963727637","https://openalex.org/W3101237228","https://openalex.org/W3136059735"],"related_works":["https://openalex.org/W2035100057","https://openalex.org/W2612815490","https://openalex.org/W3180542513","https://openalex.org/W4290239936","https://openalex.org/W2047291509","https://openalex.org/W2161995861","https://openalex.org/W2010571903","https://openalex.org/W3151684755","https://openalex.org/W2099377883","https://openalex.org/W183068254"],"abstract_inverted_index":{"In":[0,40,78],"differential":[1],"geometry":[2],"of":[3,48,72],"surfaces":[4,56],"the":[5,15,35,52,73,80,89],"Dirac":[6,50],"operator":[7,93],"appears":[8],"intrinsically":[9],"as":[10,18,20],"a":[11,45],"tool":[12],"to":[13,30],"address":[14],"immersion":[16],"problem":[17],"well":[19],"in":[21],"an":[22],"extrinsic":[23],"flavor":[24],"(that":[25],"comes":[26],"with":[27,57],"spin":[28,82],"transformations":[29],"comformally":[31],"transfrom":[32],"immersions)":[33],"and":[34,60,66,88,94],"two":[36],"are":[37,76,98],"naturally":[38],"related.":[39],"this":[41,92],"paper":[42],"we":[43],"consider":[44],"corresponding":[46,81],"pair":[47],"discrete":[49,55],"operators,":[51],"latter":[53],"on":[54,63],"polygonal":[58],"faces":[59],"normals":[61],"defined":[62],"each":[64],"face,":[65],"show":[67],"that":[68],"many":[69],"key":[70],"properties":[71],"smooth":[74],"theory":[75],"preserved.":[77],"particular,":[79],"transformations,":[83],"conformal":[84],"invariants":[85],"for":[86],"them,":[87],"relation":[90],"between":[91],"its":[95],"intrinsic":[96],"counterpart":[97],"discussed.":[99]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}