{"id":"https://openalex.org/W3089338943","doi":"https://doi.org/10.1080/10586458.2021.1985656","title":"Computation of the Taut, the Veering and the Teichm\u00fcller Polynomials","display_name":"Computation of the Taut, the Veering and the Teichm\u00fcller Polynomials","publication_year":2021,"publication_date":"2021-10-21","ids":{"openalex":"https://openalex.org/W3089338943","doi":"https://doi.org/10.1080/10586458.2021.1985656","mag":"3089338943"},"language":"en","primary_location":{"id":"doi:10.1080/10586458.2021.1985656","is_oa":true,"landing_page_url":"https://doi.org/10.1080/10586458.2021.1985656","pdf_url":"https://www.tandfonline.com/doi/pdf/10.1080/10586458.2021.1985656?needAccess=true","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Experimental Mathematics","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://www.tandfonline.com/doi/pdf/10.1080/10586458.2021.1985656?needAccess=true","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5040260568","display_name":"Anna Parlak","orcid":"https://orcid.org/0000-0003-1623-2386"},"institutions":[{"id":"https://openalex.org/I39555362","display_name":"University of Warwick","ror":"https://ror.org/01a77tt86","country_code":"GB","type":"education","lineage":["https://openalex.org/I39555362"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Anna Parlak","raw_affiliation_strings":["Mathematics Institute, University of Warwick, Coventry, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematics Institute, University of Warwick, Coventry, UK","institution_ids":["https://openalex.org/I39555362"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5040260568"],"corresponding_institution_ids":["https://openalex.org/I39555362"],"apc_list":null,"apc_paid":null,"fwci":1.2667,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.76678376,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"33","issue":"1","first_page":"1","last_page":"26"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10304","display_name":"Geometric and Algebraic Topology","score":0.9995999932289124,"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":0.9995999932289124,"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/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9988999962806702,"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"}},{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9955000281333923,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"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":0.7316107749938965},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5222923755645752},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.4931890368461609},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.4908619523048401},{"id":"https://openalex.org/keywords/ball","display_name":"Ball (mathematics)","score":0.46595484018325806},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.45479634404182434},{"id":"https://openalex.org/keywords/fibered-knot","display_name":"Fibered knot","score":0.4254516065120697},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2849648892879486},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.1000729501247406},{"id":"https://openalex.org/keywords/law","display_name":"Law","score":0.050639063119888306}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7316107749938965},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5222923755645752},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.4931890368461609},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.4908619523048401},{"id":"https://openalex.org/C122041747","wikidata":"https://www.wikidata.org/wiki/Q838611","display_name":"Ball (mathematics)","level":2,"score":0.46595484018325806},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.45479634404182434},{"id":"https://openalex.org/C133776654","wikidata":"https://www.wikidata.org/wiki/Q2381352","display_name":"Fibered knot","level":2,"score":0.4254516065120697},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2849648892879486},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.1000729501247406},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.050639063119888306},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1080/10586458.2021.1985656","is_oa":true,"landing_page_url":"https://doi.org/10.1080/10586458.2021.1985656","pdf_url":"https://www.tandfonline.com/doi/pdf/10.1080/10586458.2021.1985656?needAccess=true","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Experimental Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2009.13558","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2009.13558","pdf_url":"https://arxiv.org/pdf/2009.13558","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":"","raw_type":"text"},{"id":"pmh:oai:wrap.warwick.ac.uk:159866","is_oa":true,"landing_page_url":null,"pdf_url":"https://wrap.warwick.ac.uk/159866/1/WRAP-Computation-Taut-Veering-Teichm-ller-polynomials-2022.pdf","source":{"id":"https://openalex.org/S4306400665","display_name":"Warwick Research Archive Portal (University of Warwick)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I39555362","host_organization_name":"University of Warwick","host_organization_lineage":["https://openalex.org/I39555362"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Journal Article"},{"id":"mag:3089338943","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/2009.13558","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":"doi:10.48550/arxiv.2009.13558","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2009.13558","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:10.1080/10586458.2021.1985656","is_oa":true,"landing_page_url":"https://doi.org/10.1080/10586458.2021.1985656","pdf_url":"https://www.tandfonline.com/doi/pdf/10.1080/10586458.2021.1985656?needAccess=true","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Experimental Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3718860924","display_name":null,"funder_award_id":"EP/N509796","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G5170869007","display_name":null,"funder_award_id":"1936817","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G5636292711","display_name":"On the combinatorics of veering triangulations","funder_award_id":"1936817","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G8571777348","display_name":"DTP 2016-2017 University of Warwick","funder_award_id":"EP/N509796/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320312387","display_name":"Temple University","ror":"https://ror.org/00kx1jb78"},{"id":"https://openalex.org/F4320320279","display_name":"University of Warwick","ror":"https://ror.org/01a77tt86"},{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3089338943.pdf"},"referenced_works_count":36,"referenced_works":["https://openalex.org/W120381637","https://openalex.org/W122881644","https://openalex.org/W580052950","https://openalex.org/W634201324","https://openalex.org/W1486462508","https://openalex.org/W1486517759","https://openalex.org/W1540514660","https://openalex.org/W1547360213","https://openalex.org/W1971728051","https://openalex.org/W2007390369","https://openalex.org/W2052099954","https://openalex.org/W2105766538","https://openalex.org/W2115026042","https://openalex.org/W2117667600","https://openalex.org/W2122847889","https://openalex.org/W2160479520","https://openalex.org/W2482597935","https://openalex.org/W2549638979","https://openalex.org/W2593943493","https://openalex.org/W2768352230","https://openalex.org/W2922638591","https://openalex.org/W2941910447","https://openalex.org/W2963627719","https://openalex.org/W2986452021","https://openalex.org/W3048894863","https://openalex.org/W3098908294","https://openalex.org/W3099766793","https://openalex.org/W3100107854","https://openalex.org/W3101049830","https://openalex.org/W3105997822","https://openalex.org/W3124588729","https://openalex.org/W3178423394","https://openalex.org/W4302407180","https://openalex.org/W6604988731","https://openalex.org/W6643031664","https://openalex.org/W6782014891"],"related_works":["https://openalex.org/W3209604989","https://openalex.org/W3048894863","https://openalex.org/W2941910447","https://openalex.org/W2007390797","https://openalex.org/W3147265175","https://openalex.org/W32319428","https://openalex.org/W2999368011","https://openalex.org/W2030946104","https://openalex.org/W3010933973","https://openalex.org/W2608988929","https://openalex.org/W1579780926","https://openalex.org/W2952206239","https://openalex.org/W1984677443","https://openalex.org/W2547560122","https://openalex.org/W3134045617","https://openalex.org/W1977516669","https://openalex.org/W3041847291","https://openalex.org/W2963723034","https://openalex.org/W2951267156","https://openalex.org/W3117664331"],"abstract_inverted_index":{"Landry,":[0],"Minsky":[1],"and":[2,16,46,55,72],"Taylor":[3],"[LMT]":[4,30,78],"introduced":[5],"two":[6],"polynomial":[7,15,82,95,114],"invariants":[8],"of":[9,36,83,87,96,115,119],"veering":[10,18,38,68,74,100],"triangulations":[11,69],"--":[12],"the":[13,17,33,37,44,47,53,56,80,88,93,97,112,120],"taut":[14,58,94],"polynomial.":[19],"We":[20,50,102],"give":[21,107],"algorithms":[22],"to":[23,106,110],"compute":[24,111],"these":[25],"invariants.":[26],"In":[27],"their":[28],"definition":[29],"use":[31,103],"only":[32],"upper":[34,45,57,73],"track":[35],"triangulation,":[39],"while":[40],"we":[41,63],"consider":[42],"both":[43],"lower":[48,54,71],"track.":[49],"prove":[51],"that":[52,65],"polynomials":[59,75],"are":[60,67,76],"equal.":[61],"However,":[62],"show":[64],"there":[66],"whose":[70],"different.":[77],"related":[79],"Teichm\u00fcller":[81,113],"a":[84],"fibred":[85,117],"face":[86,118],"Thurston":[89,121],"norm":[90,122],"ball":[91],"with":[92],"associated":[98],"layered":[99],"triangulation.":[101],"this":[104],"result":[105],"an":[108],"algorithm":[109],"any":[116],"ball.":[123]},"counts_by_year":[{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1}],"updated_date":"2026-05-22T09:01:20.584952","created_date":"2025-10-10T00:00:00"}
