Small generating sets for the Torelli group

dc.citation.firstpage111en_US
dc.citation.journalTitleGeometry & Topologyen_US
dc.citation.lastpage125en_US
dc.citation.volumeNumber16en_US
dc.contributor.authorPutman, Andrewen_US
dc.date.accessioned2013-09-13T15:51:52Z
dc.date.available2013-09-13T15:51:52Z
dc.date.issued2012en_US
dc.description.abstractProving a conjecture of Dennis Johnson, we show that the Torelli subgroup Ig of the genus g mapping class group has a finite generating set whose size grows cubically with respect to g. Our main tool is a new space called the handle graph on which Ig acts cocompactly.en_US
dc.embargo.termsnoneen_US
dc.identifier.citationPutman, Andrew. "Small generating sets for the Torelli group." <i>Geometry & Topology,</i> 16, (2012) Mathematical Sciences Publisher: 111-125. http://dx.doi.org/10.2140/gt.2012.16.111.
dc.identifier.doihttp://dx.doi.org/10.2140/gt.2012.16.111en_US
dc.identifier.urihttps://hdl.handle.net/1911/71896
dc.language.isoengen_US
dc.publisherMathematical Sciences Publisher
dc.rightsThis is an author's peer-reviewed final manuscript, as accepted by the publisher. The published article is copyrighted by Mathematical Sciences Publisher.en_US
dc.subject.keywordTorelli groupen_US
dc.subject.keywordmapping class groupen_US
dc.titleSmall generating sets for the Torelli groupen_US
dc.typeJournal articleen_US
dc.type.dcmiTexten_US
dc.type.publicationpost-printen_US
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