{"id":"https://openalex.org/W4200235038","doi":"https://doi.org/10.1080/10586458.2021.1980750","title":"<tt>diffstrata</tt>\u2014A Sage Package for Calculations in the Tautological Ring of the Moduli Space of Abelian Differentials","display_name":"<tt>diffstrata</tt>\u2014A Sage Package for Calculations in the Tautological Ring of the Moduli Space of Abelian Differentials","publication_year":2021,"publication_date":"2021-12-30","ids":{"openalex":"https://openalex.org/W4200235038","doi":"https://doi.org/10.1080/10586458.2021.1980750"},"language":"en","primary_location":{"id":"doi:10.1080/10586458.2021.1980750","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10586458.2021.1980750","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/A5088105592","display_name":"Matteo Costantini","orcid":null},"institutions":[{"id":"https://openalex.org/I62318514","display_name":"University of Duisburg-Essen","ror":"https://ror.org/04mz5ra38","country_code":"DE","type":"education","lineage":["https://openalex.org/I62318514"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Matteo Costantini","raw_affiliation_strings":["Universit\u00e4t Duisburg-Essen Fakult\u00e4t f\u00fcr Mathematik, Essen, Germany"],"affiliations":[{"raw_affiliation_string":"Universit\u00e4t Duisburg-Essen Fakult\u00e4t f\u00fcr Mathematik, Essen, Germany","institution_ids":["https://openalex.org/I62318514"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5112231326","display_name":"Martin M\u00f6ller","orcid":null},"institutions":[{"id":"https://openalex.org/I114090438","display_name":"Goethe University Frankfurt","ror":"https://ror.org/04cvxnb49","country_code":"DE","type":"education","lineage":["https://openalex.org/I114090438"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Martin M\u00f6ller","raw_affiliation_strings":["Institut f\u00fcr Mathematik, Goethe-Universit\u00e4t Frankfurt, Frankfurt am Main, Germany"],"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Mathematik, Goethe-Universit\u00e4t Frankfurt, Frankfurt am Main, Germany","institution_ids":["https://openalex.org/I114090438"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5079764700","display_name":"Jonathan Zachhuber","orcid":null},"institutions":[{"id":"https://openalex.org/I114090438","display_name":"Goethe University Frankfurt","ror":"https://ror.org/04cvxnb49","country_code":"DE","type":"education","lineage":["https://openalex.org/I114090438"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Jonathan Zachhuber","raw_affiliation_strings":["Institut f\u00fcr Mathematik, Goethe-Universit\u00e4t Frankfurt, Frankfurt am Main, Germany"],"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Mathematik, Goethe-Universit\u00e4t Frankfurt, Frankfurt am Main, Germany","institution_ids":["https://openalex.org/I114090438"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5112231326"],"corresponding_institution_ids":["https://openalex.org/I114090438"],"apc_list":null,"apc_paid":null,"fwci":0.5254,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.62042825,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"32","issue":"3","first_page":"545","last_page":"565"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9983999729156494,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9983999729156494,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T11435","display_name":"Polynomial and algebraic computation","score":0.9936000108718872,"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/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9871000051498413,"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":0.8040586113929749},{"id":"https://openalex.org/keywords/moduli-space","display_name":"Moduli space","score":0.7884804606437683},{"id":"https://openalex.org/keywords/compactification","display_name":"Compactification (mathematics)","score":0.7802510261535645},{"id":"https://openalex.org/keywords/abelian-group","display_name":"Abelian group","score":0.666467547416687},{"id":"https://openalex.org/keywords/eulers-formula","display_name":"Euler's formula","score":0.5724989175796509},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5102059841156006},{"id":"https://openalex.org/keywords/moduli","display_name":"Moduli","score":0.49980735778808594},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.49312230944633484},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3860548138618469},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.30258041620254517}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8040586113929749},{"id":"https://openalex.org/C73373263","wikidata":"https://www.wikidata.org/wiki/Q845677","display_name":"Moduli space","level":2,"score":0.7884804606437683},{"id":"https://openalex.org/C2779165322","wikidata":"https://www.wikidata.org/wiki/Q546145","display_name":"Compactification (mathematics)","level":2,"score":0.7802510261535645},{"id":"https://openalex.org/C136170076","wikidata":"https://www.wikidata.org/wiki/Q181296","display_name":"Abelian group","level":2,"score":0.666467547416687},{"id":"https://openalex.org/C62884695","wikidata":"https://www.wikidata.org/wiki/Q184871","display_name":"Euler's formula","level":2,"score":0.5724989175796509},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5102059841156006},{"id":"https://openalex.org/C121089165","wikidata":"https://www.wikidata.org/wiki/Q6889796","display_name":"Moduli","level":2,"score":0.49980735778808594},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.49312230944633484},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3860548138618469},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.30258041620254517},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/10586458.2021.1980750","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10586458.2021.1980750","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":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W1967330026","https://openalex.org/W2117489802","https://openalex.org/W2121843755","https://openalex.org/W2244320003","https://openalex.org/W2342521385","https://openalex.org/W2487978560","https://openalex.org/W2585665795","https://openalex.org/W2963438905","https://openalex.org/W2975587057","https://openalex.org/W3004840193","https://openalex.org/W3033723299","https://openalex.org/W3036776590","https://openalex.org/W3092245030","https://openalex.org/W3103540082","https://openalex.org/W3103605329","https://openalex.org/W3106051166","https://openalex.org/W4200235038","https://openalex.org/W6770298105","https://openalex.org/W6776344782"],"related_works":["https://openalex.org/W4300906199","https://openalex.org/W329782675","https://openalex.org/W2037858742","https://openalex.org/W2963970307","https://openalex.org/W1533861373","https://openalex.org/W4309871049","https://openalex.org/W1763041993","https://openalex.org/W2499490784","https://openalex.org/W2063576745","https://openalex.org/W2048910868"],"abstract_inverted_index":{"The":[0],"boundary":[1,26,48],"of":[2,7,9,24,29,36,66],"the":[3,22,25,37,41,47,59,63,69,73],"multi-scale":[4],"differential":[5],"compactification":[6],"strata":[8,67],"abelian":[10],"differentials":[11],"admits":[12],"an":[13],"explicit":[14],"combinatorial":[15],"description.":[16],"However,":[17],"even":[18],"for":[19],"low-dimensional":[20],"strata,":[21],"complexity":[23],"requires":[27],"use":[28],"a":[30,34],"computer.":[31],"We":[32],"give":[33],"description":[35],"algorithms":[38],"implemented":[39],"in":[40],"SageMath":[42],"package":[43,60],"diffstrata":[44],"to":[45],"enumerate":[46],"components":[49],"and":[50],"perform":[51],"intersection":[52],"theory":[53],"on":[54],"this":[55],"space.":[56],"In":[57],"particular,":[58],"can":[61],"compute":[62],"Euler":[64],"characteristic":[65],"using":[68],"methods":[70],"developed":[71],"by":[72],"same":[74],"authors.":[75]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}