{"id":"https://openalex.org/W1975078199","doi":"https://doi.org/10.1080/10586458.2000.10504637","title":"Periodic Automorphisms of Surfaces: Invariant Circles and Maximal Orders","display_name":"Periodic Automorphisms of Surfaces: Invariant Circles and Maximal Orders","publication_year":2000,"publication_date":"2000-01-01","ids":{"openalex":"https://openalex.org/W1975078199","doi":"https://doi.org/10.1080/10586458.2000.10504637","mag":"1975078199"},"language":"en","primary_location":{"id":"doi:10.1080/10586458.2000.10504637","is_oa":true,"landing_page_url":"https://doi.org/10.1080/10586458.2000.10504637","pdf_url":"https://www.tandfonline.com/doi/abs/10.1080/10586458.2000.10504637","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":true,"oa_status":"bronze","oa_url":"https://www.tandfonline.com/doi/abs/10.1080/10586458.2000.10504637","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5062579775","display_name":"Hansj\u00f6rg Geiges","orcid":"https://orcid.org/0000-0002-1360-1062"},"institutions":[{"id":"https://openalex.org/I121797337","display_name":"Leiden University","ror":"https://ror.org/027bh9e22","country_code":"NL","type":"education","lineage":["https://openalex.org/I121797337"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Hansj\u00f6rg Geiges","raw_affiliation_strings":["Mathematisch Instituut, Universiteit Leiden, Postbus 9512, Leiden, 2300, RA, The Netherlands E-mail: geiges@math.leidenuniv.nl","Mathematisch Instituut, Universiteit Leiden , Postbus 9512, Leiden , 2300 , RA , The Netherlands E-mail: geiges@math.leidenuniv.nl"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematisch Instituut, Universiteit Leiden, Postbus 9512, Leiden, 2300, RA, The Netherlands E-mail: geiges@math.leidenuniv.nl","institution_ids":["https://openalex.org/I121797337"]},{"raw_affiliation_string":"Mathematisch Instituut, Universiteit Leiden , Postbus 9512, Leiden , 2300 , RA , The Netherlands E-mail: geiges@math.leidenuniv.nl","institution_ids":["https://openalex.org/I121797337"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5040307635","display_name":"Diego Rattaggi","orcid":null},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Diego Rattaggi","raw_affiliation_strings":["Departement Mathematik, ETH Zentrum, 8092, Z\u00fcrich, Switzerland E-mail: rattaggi@math.ethz.ch","Departement Mathematik , ETH Zentrum , 8092 , Z\u00fcrich , Switzerland E-mail: rattaggi@math.ethz.ch"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departement Mathematik, ETH Zentrum, 8092, Z\u00fcrich, Switzerland E-mail: rattaggi@math.ethz.ch","institution_ids":["https://openalex.org/I35440088"]},{"raw_affiliation_string":"Departement Mathematik , ETH Zentrum , 8092 , Z\u00fcrich , Switzerland E-mail: rattaggi@math.ethz.ch","institution_ids":["https://openalex.org/I35440088"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.11092864,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":93},"biblio":{"volume":"9","issue":"1","first_page":"75","last_page":"84"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10304","display_name":"Geometric and Algebraic Topology","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T10304","display_name":"Geometric and Algebraic Topology","score":0.9998000264167786,"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/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.995199978351593,"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/T10849","display_name":"Finite Group Theory Research","score":0.989300012588501,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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/automorphism","display_name":"Automorphism","score":0.898104190826416},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8673194050788879},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.7521859407424927},{"id":"https://openalex.org/keywords/automorphism-group","display_name":"Automorphism group","score":0.5620349645614624},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5211284756660461},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4833204746246338},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.45485806465148926},{"id":"https://openalex.org/keywords/surface","display_name":"Surface (topology)","score":0.4499248266220093},{"id":"https://openalex.org/keywords/outer-automorphism-group","display_name":"Outer automorphism group","score":0.41984981298446655},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.15991801023483276},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.15984895825386047}],"concepts":[{"id":"https://openalex.org/C118712358","wikidata":"https://www.wikidata.org/wiki/Q782566","display_name":"Automorphism","level":2,"score":0.898104190826416},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8673194050788879},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.7521859407424927},{"id":"https://openalex.org/C2988750069","wikidata":"https://www.wikidata.org/wiki/Q60790315","display_name":"Automorphism group","level":3,"score":0.5620349645614624},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5211284756660461},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4833204746246338},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.45485806465148926},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.4499248266220093},{"id":"https://openalex.org/C7619685","wikidata":"https://www.wikidata.org/wiki/Q3630548","display_name":"Outer automorphism group","level":4,"score":0.41984981298446655},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.15991801023483276},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.15984895825386047},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1080/10586458.2000.10504637","is_oa":true,"landing_page_url":"https://doi.org/10.1080/10586458.2000.10504637","pdf_url":"https://www.tandfonline.com/doi/abs/10.1080/10586458.2000.10504637","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"},{"id":"pmh:oai:CULeuclid:euclid.em/1046889592","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.em/1046889592","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"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":"","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.1080/10586458.2000.10504637","is_oa":true,"landing_page_url":"https://doi.org/10.1080/10586458.2000.10504637","pdf_url":"https://www.tandfonline.com/doi/abs/10.1080/10586458.2000.10504637","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"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1975078199.pdf","grobid_xml":"https://content.openalex.org/works/W1975078199.grobid-xml"},"referenced_works_count":18,"referenced_works":["https://openalex.org/W78769914","https://openalex.org/W423577927","https://openalex.org/W1494599013","https://openalex.org/W1494838145","https://openalex.org/W1534888978","https://openalex.org/W1601962296","https://openalex.org/W1969450845","https://openalex.org/W2023762897","https://openalex.org/W2051331820","https://openalex.org/W2051751258","https://openalex.org/W2059760922","https://openalex.org/W2068774711","https://openalex.org/W2072460627","https://openalex.org/W2204926036","https://openalex.org/W3005218345","https://openalex.org/W3038420293","https://openalex.org/W4206033904","https://openalex.org/W4252932738"],"related_works":["https://openalex.org/W2963257052","https://openalex.org/W4237349735","https://openalex.org/W4302155387","https://openalex.org/W2949256963","https://openalex.org/W2255396244","https://openalex.org/W2545189445","https://openalex.org/W2115024785","https://openalex.org/W2038555784","https://openalex.org/W2953327171","https://openalex.org/W3020284939"],"abstract_inverted_index":{"W.":[0],"H.":[1],"Meeks":[2,52],"has":[3],"asked":[4],"the":[5,42,56,84,108],"foll":[6],"owing":[7],"question:":[8],"For":[9],"what":[10],"g":[11,25,69,77],"does":[12],"every":[13],"(orientation":[14],"preserving)":[15],"periodic":[16,114],"automorphism":[17,115],"of":[18,23,32,44,51,68,73,86,99,112,116],"a":[19,49,113,117,123],"closed":[20],"orientable":[21],"surface":[22],"genus":[24],"have":[26],"an":[27,133],"invariant":[28,45],"circle?":[29],"A":[30],"variant":[31],"this":[33,128,137],"question":[34,60,92,129],"due":[35],"to":[36,58,94,127],"R.":[37],"D.":[38],"Edwards":[39],"asks":[40],"for":[41,63,107],"existence":[43],"essential":[46],"circles.":[47],"Using":[48],"construction":[50],"we":[53,105],"show":[54,82],"that":[55,83],"answer":[57,126],"his":[59],"is":[61],"negative":[62],"all":[64,72],"but":[65],"43":[66],"values":[67],"\u2264":[70],"10000,":[71],"which":[74],"lie":[75],"below":[76],"=":[78],"105.":[79],"We":[80,121],"then":[81],"work":[85],"S.":[87],"C.":[88],"Wang":[89],"on":[90],"Edwards'":[91],"generalizes":[93],"nonorientable":[95,119],"surfaces":[96],"and":[97,130,139],"automorphisms":[98],"odd":[100,110],"order.":[101],"Motivated":[102],"by":[103],"this,":[104],"ask":[106],"maximal":[109],"order":[111,138],"given":[118],"surface.":[120],"obtain":[122],"fairly":[124],"complete":[125],"also":[131],"observe":[132],"amusing":[134],"relation":[135],"between":[136],"Fermat":[140],"primes.":[141]},"counts_by_year":[{"year":2021,"cited_by_count":1}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}