The simplicial volume of 3‐manifolds with boundary

The simplicial volume of 3‐manifolds with boundary

We provide sharp lower bounds for the simplicial volume of compact 3‐manifolds in terms of the simplicial volume of their boundaries. As an application, we compute the simplicial volume of several classes of 3‐manifolds, including handlebodies and products of surfaces with the interval. Our results...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Journal of topology 2015-06, Vol.8 (2), p.457-475
Hauptverfasser: Bucher, Michelle, Frigerio, Roberto, Pagliantini, Cristina
Format: Artikel
Sprache:eng
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
container_end_page 475
container_issue 2
container_start_page 457
container_title Journal of topology
container_volume 8
creator Bucher, Michelle
Frigerio, Roberto
Pagliantini, Cristina
description We provide sharp lower bounds for the simplicial volume of compact 3‐manifolds in terms of the simplicial volume of their boundaries. As an application, we compute the simplicial volume of several classes of 3‐manifolds, including handlebodies and products of surfaces with the interval. Our results provide the first exact computation of the simplicial volume of a compact manifold whose boundary has positive simplicial volume. We also compute the minimal number of tetrahedra in a (loose) triangulation of the product of a surface with the interval.
doi_str_mv 10.1112/jtopol/jtv001
format Article
fullrecord <record><control><sourceid>wiley_cross</sourceid><recordid>TN_cdi_crossref_primary_10_1112_jtopol_jtv001</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>TOPO0457</sourcerecordid><originalsourceid>FETCH-LOGICAL-c3207-2685be05a55efe785bbbadbe8b6b37fd24cc67ad548eafb275dd66c870b1f5103</originalsourceid><addsrcrecordid>eNp9j8lKA0EURQtRMEaX7vsHWl_NvZXgBIF20a6LGkmF6lToykB2foLf6JfY0uLS1X0XDo97ELrFcIcxJvfrXd7mNMYBAJ-hGZac1g0j7PzvxuISXZWyBhAEqJgh1q18VWK_TdFGnapDTvveVzlU9Ovjs9ebGHJypTrG3aoyeb9xejhdo4ugU_E3vzlH70-P3eKlXrbPr4uHZW0pAVkT0XDjgWvOffByLMZoZ3xjhKEyOMKsFVI7zhqvgyGSOyeEbSQYHDgGOkf19NcOuZTBB7UdYj8OUBjUj7KalNWkPPJ04o8x-dP_sOratxYYl_QbIGNfEg</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>The simplicial volume of 3‐manifolds with boundary</title><source>Wiley Online Library Journals Frontfile Complete</source><creator>Bucher, Michelle ; Frigerio, Roberto ; Pagliantini, Cristina</creator><creatorcontrib>Bucher, Michelle ; Frigerio, Roberto ; Pagliantini, Cristina</creatorcontrib><description>We provide sharp lower bounds for the simplicial volume of compact 3‐manifolds in terms of the simplicial volume of their boundaries. As an application, we compute the simplicial volume of several classes of 3‐manifolds, including handlebodies and products of surfaces with the interval. Our results provide the first exact computation of the simplicial volume of a compact manifold whose boundary has positive simplicial volume. We also compute the minimal number of tetrahedra in a (loose) triangulation of the product of a surface with the interval.</description><identifier>ISSN: 1753-8416</identifier><identifier>EISSN: 1753-8424</identifier><identifier>DOI: 10.1112/jtopol/jtv001</identifier><language>eng</language><publisher>Oxford University Press</publisher><ispartof>Journal of topology, 2015-06, Vol.8 (2), p.457-475</ispartof><rights>2015 London Mathematical Society</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c3207-2685be05a55efe785bbbadbe8b6b37fd24cc67ad548eafb275dd66c870b1f5103</citedby><cites>FETCH-LOGICAL-c3207-2685be05a55efe785bbbadbe8b6b37fd24cc67ad548eafb275dd66c870b1f5103</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://onlinelibrary.wiley.com/doi/pdf/10.1112%2Fjtopol%2Fjtv001$$EPDF$$P50$$Gwiley$$H</linktopdf><linktohtml>$$Uhttps://onlinelibrary.wiley.com/doi/full/10.1112%2Fjtopol%2Fjtv001$$EHTML$$P50$$Gwiley$$H</linktohtml><link.rule.ids>314,776,780,1411,27901,27902,45550,45551</link.rule.ids></links><search><creatorcontrib>Bucher, Michelle</creatorcontrib><creatorcontrib>Frigerio, Roberto</creatorcontrib><creatorcontrib>Pagliantini, Cristina</creatorcontrib><title>The simplicial volume of 3‐manifolds with boundary</title><title>Journal of topology</title><description>We provide sharp lower bounds for the simplicial volume of compact 3‐manifolds in terms of the simplicial volume of their boundaries. As an application, we compute the simplicial volume of several classes of 3‐manifolds, including handlebodies and products of surfaces with the interval. Our results provide the first exact computation of the simplicial volume of a compact manifold whose boundary has positive simplicial volume. We also compute the minimal number of tetrahedra in a (loose) triangulation of the product of a surface with the interval.</description><issn>1753-8416</issn><issn>1753-8424</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2015</creationdate><recordtype>article</recordtype><recordid>eNp9j8lKA0EURQtRMEaX7vsHWl_NvZXgBIF20a6LGkmF6lToykB2foLf6JfY0uLS1X0XDo97ELrFcIcxJvfrXd7mNMYBAJ-hGZac1g0j7PzvxuISXZWyBhAEqJgh1q18VWK_TdFGnapDTvveVzlU9Ovjs9ebGHJypTrG3aoyeb9xejhdo4ugU_E3vzlH70-P3eKlXrbPr4uHZW0pAVkT0XDjgWvOffByLMZoZ3xjhKEyOMKsFVI7zhqvgyGSOyeEbSQYHDgGOkf19NcOuZTBB7UdYj8OUBjUj7KalNWkPPJ04o8x-dP_sOratxYYl_QbIGNfEg</recordid><startdate>201506</startdate><enddate>201506</enddate><creator>Bucher, Michelle</creator><creator>Frigerio, Roberto</creator><creator>Pagliantini, Cristina</creator><general>Oxford University Press</general><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>201506</creationdate><title>The simplicial volume of 3‐manifolds with boundary</title><author>Bucher, Michelle ; Frigerio, Roberto ; Pagliantini, Cristina</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c3207-2685be05a55efe785bbbadbe8b6b37fd24cc67ad548eafb275dd66c870b1f5103</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2015</creationdate><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Bucher, Michelle</creatorcontrib><creatorcontrib>Frigerio, Roberto</creatorcontrib><creatorcontrib>Pagliantini, Cristina</creatorcontrib><collection>CrossRef</collection><jtitle>Journal of topology</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Bucher, Michelle</au><au>Frigerio, Roberto</au><au>Pagliantini, Cristina</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>The simplicial volume of 3‐manifolds with boundary</atitle><jtitle>Journal of topology</jtitle><date>2015-06</date><risdate>2015</risdate><volume>8</volume><issue>2</issue><spage>457</spage><epage>475</epage><pages>457-475</pages><issn>1753-8416</issn><eissn>1753-8424</eissn><abstract>We provide sharp lower bounds for the simplicial volume of compact 3‐manifolds in terms of the simplicial volume of their boundaries. As an application, we compute the simplicial volume of several classes of 3‐manifolds, including handlebodies and products of surfaces with the interval. Our results provide the first exact computation of the simplicial volume of a compact manifold whose boundary has positive simplicial volume. We also compute the minimal number of tetrahedra in a (loose) triangulation of the product of a surface with the interval.</abstract><pub>Oxford University Press</pub><doi>10.1112/jtopol/jtv001</doi><tpages>19</tpages><oa>free_for_read</oa></addata></record>
fulltext fulltext
identifier ISSN: 1753-8416
ispartof Journal of topology, 2015-06, Vol.8 (2), p.457-475
issn 1753-8416
1753-8424
language eng
recordid cdi_crossref_primary_10_1112_jtopol_jtv001
source Wiley Online Library Journals Frontfile Complete
title The simplicial volume of 3‐manifolds with boundary
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-02-04T21%3A54%3A18IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-wiley_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=The%20simplicial%20volume%20of%203%E2%80%90manifolds%20with%20boundary&rft.jtitle=Journal%20of%20topology&rft.au=Bucher,%20Michelle&rft.date=2015-06&rft.volume=8&rft.issue=2&rft.spage=457&rft.epage=475&rft.pages=457-475&rft.issn=1753-8416&rft.eissn=1753-8424&rft_id=info:doi/10.1112/jtopol/jtv001&rft_dat=%3Cwiley_cross%3ETOPO0457%3C/wiley_cross%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