Small generating sets for the Torelli group

Small generating sets for the Torelli group
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Torelli 集团的小型发电机组

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发表时间:
2011
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通讯作者:
Andrew Putman
Andrew Putman
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文献类型:
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作者:
Andrew Putman

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Proving a conjecture of Dennis Johnson, we show that the Torelli subgroup of the mapping class group has a finite generating set whose size grows cubically with respect to the genus of the surface. Our main tool is a new space called the handle graph on which the Torelli group acts cocompactly.