Small generating sets for the Torelli group
dc.citation.firstpage | 111 | en_US |
dc.citation.journalTitle | Geometry & Topology | en_US |
dc.citation.lastpage | 125 | en_US |
dc.citation.volumeNumber | 16 | en_US |
dc.contributor.author | Putman, Andrew | en_US |
dc.date.accessioned | 2013-09-13T15:51:52Z | |
dc.date.available | 2013-09-13T15:51:52Z | |
dc.date.issued | 2012 | en_US |
dc.description.abstract | Proving 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.terms | none | en_US |
dc.identifier.citation | Putman, 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.doi | http://dx.doi.org/10.2140/gt.2012.16.111 | en_US |
dc.identifier.uri | https://hdl.handle.net/1911/71896 | |
dc.language.iso | eng | en_US |
dc.publisher | Mathematical Sciences Publisher | |
dc.rights | This 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.keyword | Torelli group | en_US |
dc.subject.keyword | mapping class group | en_US |
dc.title | Small generating sets for the Torelli group | en_US |
dc.type | Journal article | en_US |
dc.type.dcmi | Text | en_US |
dc.type.publication | post-print | en_US |