{"id":"https://openalex.org/W4400196840","doi":"https://doi.org/10.5070/c64163852","title":"Rowmotion on \\(m\\)-Tamari and biCambrian lattices","display_name":"Rowmotion on \\(m\\)-Tamari and biCambrian lattices","publication_year":2024,"publication_date":"2024-07-01","ids":{"openalex":"https://openalex.org/W4400196840","doi":"https://doi.org/10.5070/c64163852"},"language":"en","primary_location":{"id":"doi:10.5070/c64163852","is_oa":true,"landing_page_url":"http://dx.doi.org/10.5070/c64163852","pdf_url":"https://escholarship.org/content/qt5x945586/qt5x945586.pdf","source":{"id":"https://openalex.org/S4210174179","display_name":"Combinatorial Theory","issn_l":"2766-1334","issn":["2766-1334"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorial Theory","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://escholarship.org/content/qt5x945586/qt5x945586.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5099780860","display_name":"Colin Defant","orcid":null},"institutions":[{"id":"https://openalex.org/I136199984","display_name":"Harvard University","ror":"https://ror.org/03vek6s52","country_code":"US","type":"education","lineage":["https://openalex.org/I136199984"]},{"id":"https://openalex.org/I2801851002","display_name":"Harvard University Press","ror":"https://ror.org/006v7bf86","country_code":"US","type":"other","lineage":["https://openalex.org/I136199984","https://openalex.org/I2801851002"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Colin Defant","raw_affiliation_strings":["Department of Mathematics, Harvard University, Cambridge, MA 02139, U.S.A"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Harvard University, Cambridge, MA 02139, U.S.A","institution_ids":["https://openalex.org/I2801851002","https://openalex.org/I136199984"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5000781041","display_name":"James C. Lin","orcid":"https://orcid.org/0000-0002-7848-9841"},"institutions":[{"id":"https://openalex.org/I63966007","display_name":"Massachusetts Institute of Technology","ror":"https://ror.org/042nb2s44","country_code":"US","type":"education","lineage":["https://openalex.org/I63966007"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"James Lin","raw_affiliation_strings":["Department of Mathematics and Computer Science, Massachusetts Institute of Technology, Cambridge, MA 02139, U.S.A"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, Massachusetts Institute of Technology, Cambridge, MA 02139, U.S.A","institution_ids":["https://openalex.org/I63966007"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5099780860"],"corresponding_institution_ids":["https://openalex.org/I136199984","https://openalex.org/I2801851002"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.17810811,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"4","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.8982999920845032,"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"}},"topics":[{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.8982999920845032,"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/T12162","display_name":"Cellular Automata and Applications","score":0.7868000268936157,"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/T11716","display_name":"Random Matrices and Applications","score":0.7802000045776367,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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/computer-science","display_name":"Computer science","score":0.45866361260414124},{"id":"https://openalex.org/keywords/information-retrieval","display_name":"Information retrieval","score":0.35323256254196167},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.34159237146377563}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.45866361260414124},{"id":"https://openalex.org/C23123220","wikidata":"https://www.wikidata.org/wiki/Q816826","display_name":"Information retrieval","level":1,"score":0.35323256254196167},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.34159237146377563}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.5070/c64163852","is_oa":true,"landing_page_url":"http://dx.doi.org/10.5070/c64163852","pdf_url":"https://escholarship.org/content/qt5x945586/qt5x945586.pdf","source":{"id":"https://openalex.org/S4210174179","display_name":"Combinatorial Theory","issn_l":"2766-1334","issn":["2766-1334"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorial Theory","raw_type":"journal-article"},{"id":"pmh:oai:escholarship.org:ark:/13030/qt5x945586","is_oa":true,"landing_page_url":"https://escholarship.org/uc/item/5x945586","pdf_url":"https://escholarship.org/content/qt5x945586/qt5x945586.pdf?t=sfxprr","source":{"id":"https://openalex.org/S4306400115","display_name":"eScholarship (California Digital Library)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2801248553","host_organization_name":"California Digital Library","host_organization_lineage":["https://openalex.org/I2801248553"],"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":"Combinatorial Theory, vol 4, iss 1","raw_type":"article"}],"best_oa_location":{"id":"doi:10.5070/c64163852","is_oa":true,"landing_page_url":"http://dx.doi.org/10.5070/c64163852","pdf_url":"https://escholarship.org/content/qt5x945586/qt5x945586.pdf","source":{"id":"https://openalex.org/S4210174179","display_name":"Combinatorial Theory","issn_l":"2766-1334","issn":["2766-1334"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorial Theory","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2379292207","display_name":null,"funder_award_id":"2201907","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G4256911044","display_name":null,"funder_award_id":"1656466","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G5316782184","display_name":null,"funder_award_id":"DGE-1656466","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G5730981237","display_name":null,"funder_award_id":"1949884","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8299039064","display_name":null,"funder_award_id":"H98230-20-1-0009","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320309622","display_name":"Harvard University","ror":"https://ror.org/03vek6s52"},{"id":"https://openalex.org/F4320309636","display_name":"University of Minnesota","ror":"https://ror.org/03grvy078"},{"id":"https://openalex.org/F4320311500","display_name":"University of Minnesota Duluth","ror":"https://ror.org/01hy4qx27"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4400196840.pdf","grobid_xml":"https://content.openalex.org/works/W4400196840.grobid-xml"},"referenced_works_count":41,"referenced_works":["https://openalex.org/W112671161","https://openalex.org/W145531765","https://openalex.org/W1554619904","https://openalex.org/W1680670734","https://openalex.org/W1836527154","https://openalex.org/W1972912363","https://openalex.org/W1977467370","https://openalex.org/W2002141243","https://openalex.org/W2006159741","https://openalex.org/W2013327405","https://openalex.org/W2023233761","https://openalex.org/W2029308197","https://openalex.org/W2034224223","https://openalex.org/W2042537647","https://openalex.org/W2055446253","https://openalex.org/W2055669112","https://openalex.org/W2087406256","https://openalex.org/W2117593827","https://openalex.org/W2126338629","https://openalex.org/W2142210784","https://openalex.org/W2256955837","https://openalex.org/W2268812832","https://openalex.org/W2280520979","https://openalex.org/W2463036700","https://openalex.org/W2595764319","https://openalex.org/W2748724339","https://openalex.org/W2900192295","https://openalex.org/W2962798078","https://openalex.org/W2963138261","https://openalex.org/W2963489061","https://openalex.org/W2998800352","https://openalex.org/W3000356789","https://openalex.org/W3088734221","https://openalex.org/W3102083284","https://openalex.org/W4200561158","https://openalex.org/W4212973280","https://openalex.org/W4225938654","https://openalex.org/W4230724380","https://openalex.org/W4300302225","https://openalex.org/W4321785787","https://openalex.org/W4380987690"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2748952813","https://openalex.org/W2390279801","https://openalex.org/W2358668433","https://openalex.org/W4396701345","https://openalex.org/W2376932109","https://openalex.org/W2001405890","https://openalex.org/W4396696052","https://openalex.org/W2382290278","https://openalex.org/W4395014643"],"abstract_inverted_index":{"Thomas":[0,82],"and":[1,73,83],"Williams":[2],"conjectured":[3],"that":[4,20,42,52,87],"rowmotion":[5,37,70,106,119],"acting":[6],"on":[7,71,107,120],"the":[8,32,45,53,67,102,108,112,115,121,127],"rational":[9],"\\((a,b)\\)-Tamari":[10],"lattice":[11,110,122],"has":[12],"order":[13,124],"\\(a+b-1\\).":[14],"We":[15,49],"construct":[16],"an":[17],"equivariant":[18],"bijection":[19],"proves":[21],"this":[22,39,59],"conjecture":[23,80],"when":[24],"\\(a\\equiv":[25],"1\\pmod":[26],"b\\);":[27],"in":[28,38],"fact,":[29],"we":[30,65,85],"determine":[31],"entire":[33],"orbit":[34,103,116],"structure":[35,104,117],"of":[36,69,81,95,105,118,123,126,131],"case,":[40],"showing":[41],"it":[43],"exhibits":[44],"cyclic":[46,144],"sieving":[47],"phenomenon.":[48],"additionally":[50],"show":[51],"down-degree":[54],"statistic":[55],"is":[56,90,111],"homomesic":[57],"for":[58],"action.":[60],"In":[61],"a":[62,78,91,96],"different":[63,79],"vein,":[64],"consider":[66],"action":[68],"Barnard":[72],"Reading's":[74],"biCambrian":[75,142],"lattices.":[76],"Settling":[77],"Williams,":[84],"prove":[86],"if":[88],"\\(c\\)":[89],"bipartite":[92],"Coxeter":[93,98],"element":[94],"coincidental-type":[97],"group":[99],"\\(W\\),":[100],"then":[101],"\\(c\\)-biCambrian":[109],"same":[113],"as":[114],"ideals":[125],"doubled":[128],"root":[129],"poset":[130],"type":[132],"\\(W\\).Mathematics":[133],"Subject":[134],"Classifications:":[135],"05E18,":[136],"06B10,":[137],"06D75Keywords:":[138],"Rowmotion,":[139],"\\(m\\)-Tamari":[140],"lattice,":[141,143],"sieving,":[145],"homomesy,":[146],"homometry":[147]},"counts_by_year":[],"updated_date":"2026-04-21T08:09:41.155169","created_date":"2025-10-10T00:00:00"}
