Thurston's theorem and the Nielsen-Thurston classification via Teichmüller's theorem

Thurston's theorem and the Nielsen-Thurston classification via Teichmüller's theorem

We give a unified and self-contained proof of the Nielsen-Thurston classification theorem from the theory of mapping class groups and Thurston's characterization of rational maps from the theory of complex dynamics (plus various extensions of these). Our proof follows Bers' proof of the Ni...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:arXiv.org 2023-09
Hauptverfasser: Belk, James, Margalit, Dan, Winarski, Rebecca R
Format: Artikel
Sprache:eng
Schlagworte:
Classification
Theorems
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
container_end_page
container_issue
container_start_page
container_title arXiv.org
container_volume
creator Belk, James
Margalit, Dan
Winarski, Rebecca R
description We give a unified and self-contained proof of the Nielsen-Thurston classification theorem from the theory of mapping class groups and Thurston's characterization of rational maps from the theory of complex dynamics (plus various extensions of these). Our proof follows Bers' proof of the Nielsen-Thurston classification.
format Article
fullrecord <record><control><sourceid>proquest</sourceid><recordid>TN_cdi_proquest_journals_2864705903</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2864705903</sourcerecordid><originalsourceid>FETCH-proquest_journals_28647059033</originalsourceid><addsrcrecordid>eNpjYuA0MjY21LUwMTLiYOAtLs4yMDAwMjM3MjU15mQIDckoLSouyc9TL1YoyUjNL0rNVUjMSwGxFfwyU3OKU_N0YUoUknMSi4sz0zKTE0sygdyyzESFkNTM5Izcw3tyclKLEEbwMLCmJQL18kJpbgZlN9cQZw_dgqL8wtLU4pL4rPzSojygVLyRhZmJuYGppYGxMXGqAFtvQh8</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2864705903</pqid></control><display><type>article</type><title>Thurston's theorem and the Nielsen-Thurston classification via Teichmüller's theorem</title><source>Free E- Journals</source><creator>Belk, James ; Margalit, Dan ; Winarski, Rebecca R</creator><creatorcontrib>Belk, James ; Margalit, Dan ; Winarski, Rebecca R</creatorcontrib><description>We give a unified and self-contained proof of the Nielsen-Thurston classification theorem from the theory of mapping class groups and Thurston's characterization of rational maps from the theory of complex dynamics (plus various extensions of these). Our proof follows Bers' proof of the Nielsen-Thurston classification.</description><identifier>EISSN: 2331-8422</identifier><language>eng</language><publisher>Ithaca: Cornell University Library, arXiv.org</publisher><subject>Classification ; Theorems</subject><ispartof>arXiv.org, 2023-09</ispartof><rights>2023. This work is published under http://arxiv.org/licenses/nonexclusive-distrib/1.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>780,784</link.rule.ids></links><search><creatorcontrib>Belk, James</creatorcontrib><creatorcontrib>Margalit, Dan</creatorcontrib><creatorcontrib>Winarski, Rebecca R</creatorcontrib><title>Thurston's theorem and the Nielsen-Thurston classification via Teichmüller's theorem</title><title>arXiv.org</title><description>We give a unified and self-contained proof of the Nielsen-Thurston classification theorem from the theory of mapping class groups and Thurston's characterization of rational maps from the theory of complex dynamics (plus various extensions of these). Our proof follows Bers' proof of the Nielsen-Thurston classification.</description><subject>Classification</subject><subject>Theorems</subject><issn>2331-8422</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2023</creationdate><recordtype>article</recordtype><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><recordid>eNpjYuA0MjY21LUwMTLiYOAtLs4yMDAwMjM3MjU15mQIDckoLSouyc9TL1YoyUjNL0rNVUjMSwGxFfwyU3OKU_N0YUoUknMSi4sz0zKTE0sygdyyzESFkNTM5Izcw3tyclKLEEbwMLCmJQL18kJpbgZlN9cQZw_dgqL8wtLU4pL4rPzSojygVLyRhZmJuYGppYGxMXGqAFtvQh8</recordid><startdate>20230913</startdate><enddate>20230913</enddate><creator>Belk, James</creator><creator>Margalit, Dan</creator><creator>Winarski, Rebecca R</creator><general>Cornell University Library, arXiv.org</general><scope>8FE</scope><scope>8FG</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>HCIFZ</scope><scope>L6V</scope><scope>M7S</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PTHSS</scope></search><sort><creationdate>20230913</creationdate><title>Thurston's theorem and the Nielsen-Thurston classification via Teichmüller's theorem</title><author>Belk, James ; Margalit, Dan ; Winarski, Rebecca R</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-proquest_journals_28647059033</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2023</creationdate><topic>Classification</topic><topic>Theorems</topic><toplevel>online_resources</toplevel><creatorcontrib>Belk, James</creatorcontrib><creatorcontrib>Margalit, Dan</creatorcontrib><creatorcontrib>Winarski, Rebecca R</creatorcontrib><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>Materials Science &amp; Engineering Collection</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest Central UK/Ireland</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection (ProQuest)</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Engineering Collection</collection><collection>Engineering Database</collection><collection>Publicly Available Content Database</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>Engineering Collection</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Belk, James</au><au>Margalit, Dan</au><au>Winarski, Rebecca R</au><format>book</format><genre>document</genre><ristype>GEN</ristype><atitle>Thurston's theorem and the Nielsen-Thurston classification via Teichmüller's theorem</atitle><jtitle>arXiv.org</jtitle><date>2023-09-13</date><risdate>2023</risdate><eissn>2331-8422</eissn><abstract>We give a unified and self-contained proof of the Nielsen-Thurston classification theorem from the theory of mapping class groups and Thurston's characterization of rational maps from the theory of complex dynamics (plus various extensions of these). Our proof follows Bers' proof of the Nielsen-Thurston classification.</abstract><cop>Ithaca</cop><pub>Cornell University Library, arXiv.org</pub><oa>free_for_read</oa></addata></record>
fulltext fulltext
identifier EISSN: 2331-8422
ispartof arXiv.org, 2023-09
issn 2331-8422
language eng
recordid cdi_proquest_journals_2864705903
source Free E- Journals
subjects Classification
Theorems
title Thurston's theorem and the Nielsen-Thurston classification via Teichmüller's theorem
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-15T00%3A54%3A44IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest&rft_val_fmt=info:ofi/fmt:kev:mtx:book&rft.genre=document&rft.atitle=Thurston's%20theorem%20and%20the%20Nielsen-Thurston%20classification%20via%20Teichm%C3%BCller's%20theorem&rft.jtitle=arXiv.org&rft.au=Belk,%20James&rft.date=2023-09-13&rft.eissn=2331-8422&rft_id=info:doi/&rft_dat=%3Cproquest%3E2864705903%3C/proquest%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=2864705903&rft_id=info:pmid/&rfr_iscdi=true