Guts and volume for hyperbolic $3$-orbifolds with underlying space $S^3

Guts and volume for hyperbolic $3$-orbifolds with underlying space $S^3

For a hyperbolic $3$-orbifold with underlying space the $3$-sphere, we obtain a lower bound on its volume in the case that it contains an essential $2$-suborbifold with underlying space the $2$-sphere with four cone points. Our techniques involve computing the guts of the orbifold split along the $2...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Hauptverfasser: Atkinson, Christopher K, Mallepalle, Jessica, Melby, Joseph, Rafalski, Shawn, Vaccaro, Jennifer
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics - Geometric Topology
Online-Zugang:Volltext bestellen
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
container_end_page
container_issue
container_start_page
container_title
container_volume
creator Atkinson, Christopher K
Mallepalle, Jessica
Melby, Joseph
Rafalski, Shawn
Vaccaro, Jennifer
description For a hyperbolic $3$-orbifold with underlying space the $3$-sphere, we obtain a lower bound on its volume in the case that it contains an essential $2$-suborbifold with underlying space the $2$-sphere with four cone points. Our techniques involve computing the guts of the orbifold split along the $2$-suborbifold via a careful analysis of its topology. We also characterize the orbifolds of this type that have empty guts.
doi_str_mv 10.48550/arxiv.1703.04160
format Article
fullrecord <record><control><sourceid>arxiv_GOX</sourceid><recordid>TN_cdi_arxiv_primary_1703_04160</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>1703_04160</sourcerecordid><originalsourceid>FETCH-LOGICAL-a670-540203467d8dc768501cdd658976d5e33bac3e77e9a1ad7e03cf36d3ee8843d03</originalsourceid><addsrcrecordid>eNotz71OwzAUQGEvDKjwAEx4yJpww_VfR1RBQKrUgc5Eju8NtZQmkdMU8vaIwnS2I31C3JVQKKc1PPj0Hc9FaQELUKWBa1FV82mSvid5Hrr5yLIdkjwsI6dm6GKQGWb5kJrYDh1N8iueDnLuiVO3xP5TTqMPLLP3D7wRV63vJr7970rsX573m9d8u6veNk_b3BsLuVbwCKiMJUfBGqehDERGu7U1pBmx8QHZWl770pNlwNCiIWR2TiEBrsT93_YiqccUjz4t9a-ovojwB42tRRo</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>Guts and volume for hyperbolic $3$-orbifolds with underlying space $S^3</title><source>arXiv.org</source><creator>Atkinson, Christopher K ; Mallepalle, Jessica ; Melby, Joseph ; Rafalski, Shawn ; Vaccaro, Jennifer</creator><creatorcontrib>Atkinson, Christopher K ; Mallepalle, Jessica ; Melby, Joseph ; Rafalski, Shawn ; Vaccaro, Jennifer</creatorcontrib><description>For a hyperbolic $3$-orbifold with underlying space the $3$-sphere, we obtain a lower bound on its volume in the case that it contains an essential $2$-suborbifold with underlying space the $2$-sphere with four cone points. Our techniques involve computing the guts of the orbifold split along the $2$-suborbifold via a careful analysis of its topology. We also characterize the orbifolds of this type that have empty guts.</description><identifier>DOI: 10.48550/arxiv.1703.04160</identifier><language>eng</language><subject>Mathematics - Geometric Topology</subject><creationdate>2017-03</creationdate><rights>http://arxiv.org/licenses/nonexclusive-distrib/1.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,776,881</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/1703.04160$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.1703.04160$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Atkinson, Christopher K</creatorcontrib><creatorcontrib>Mallepalle, Jessica</creatorcontrib><creatorcontrib>Melby, Joseph</creatorcontrib><creatorcontrib>Rafalski, Shawn</creatorcontrib><creatorcontrib>Vaccaro, Jennifer</creatorcontrib><title>Guts and volume for hyperbolic $3$-orbifolds with underlying space $S^3</title><description>For a hyperbolic $3$-orbifold with underlying space the $3$-sphere, we obtain a lower bound on its volume in the case that it contains an essential $2$-suborbifold with underlying space the $2$-sphere with four cone points. Our techniques involve computing the guts of the orbifold split along the $2$-suborbifold via a careful analysis of its topology. We also characterize the orbifolds of this type that have empty guts.</description><subject>Mathematics - Geometric Topology</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2017</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNotz71OwzAUQGEvDKjwAEx4yJpww_VfR1RBQKrUgc5Eju8NtZQmkdMU8vaIwnS2I31C3JVQKKc1PPj0Hc9FaQELUKWBa1FV82mSvid5Hrr5yLIdkjwsI6dm6GKQGWb5kJrYDh1N8iueDnLuiVO3xP5TTqMPLLP3D7wRV63vJr7970rsX573m9d8u6veNk_b3BsLuVbwCKiMJUfBGqehDERGu7U1pBmx8QHZWl770pNlwNCiIWR2TiEBrsT93_YiqccUjz4t9a-ovojwB42tRRo</recordid><startdate>20170312</startdate><enddate>20170312</enddate><creator>Atkinson, Christopher K</creator><creator>Mallepalle, Jessica</creator><creator>Melby, Joseph</creator><creator>Rafalski, Shawn</creator><creator>Vaccaro, Jennifer</creator><scope>AKZ</scope><scope>GOX</scope></search><sort><creationdate>20170312</creationdate><title>Guts and volume for hyperbolic $3$-orbifolds with underlying space $S^3</title><author>Atkinson, Christopher K ; Mallepalle, Jessica ; Melby, Joseph ; Rafalski, Shawn ; Vaccaro, Jennifer</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a670-540203467d8dc768501cdd658976d5e33bac3e77e9a1ad7e03cf36d3ee8843d03</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2017</creationdate><topic>Mathematics - Geometric Topology</topic><toplevel>online_resources</toplevel><creatorcontrib>Atkinson, Christopher K</creatorcontrib><creatorcontrib>Mallepalle, Jessica</creatorcontrib><creatorcontrib>Melby, Joseph</creatorcontrib><creatorcontrib>Rafalski, Shawn</creatorcontrib><creatorcontrib>Vaccaro, Jennifer</creatorcontrib><collection>arXiv Mathematics</collection><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Atkinson, Christopher K</au><au>Mallepalle, Jessica</au><au>Melby, Joseph</au><au>Rafalski, Shawn</au><au>Vaccaro, Jennifer</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Guts and volume for hyperbolic $3$-orbifolds with underlying space $S^3</atitle><date>2017-03-12</date><risdate>2017</risdate><abstract>For a hyperbolic $3$-orbifold with underlying space the $3$-sphere, we obtain a lower bound on its volume in the case that it contains an essential $2$-suborbifold with underlying space the $2$-sphere with four cone points. Our techniques involve computing the guts of the orbifold split along the $2$-suborbifold via a careful analysis of its topology. We also characterize the orbifolds of this type that have empty guts.</abstract><doi>10.48550/arxiv.1703.04160</doi><oa>free_for_read</oa></addata></record>
fulltext fulltext_linktorsrc
identifier DOI: 10.48550/arxiv.1703.04160
ispartof
issn
language eng
recordid cdi_arxiv_primary_1703_04160
source arXiv.org
subjects Mathematics - Geometric Topology
title Guts and volume for hyperbolic $3$-orbifolds with underlying space $S^3
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-02-07T02%3A25%3A08IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-arxiv_GOX&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Guts%20and%20volume%20for%20hyperbolic%20$3$-orbifolds%20with%20underlying%20space%20$S%5E3&rft.au=Atkinson,%20Christopher%20K&rft.date=2017-03-12&rft_id=info:doi/10.48550/arxiv.1703.04160&rft_dat=%3Carxiv_GOX%3E1703_04160%3C/arxiv_GOX%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_id=info:pmid/&rfr_iscdi=true