Stable commutator length of a Dehn twist
Stable commutator length of a Dehn twist
复制标题
Dehn 扭转的稳定换向器长度
DOI：
10.1307/mmj/1080837732
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发表时间：
2000
影响因子：
0.9
通讯作者：
Mustafa Korkmaz
中科院分区：
文献类型：
--
作者：
Mustafa Korkmaz
证明了映射类群中Dehn扭转的稳定交换子长度为正，且非分离简单闭曲线的Dehn扭转的10次方是两个交换子的乘积.作为应用，给出了Dehn扭增长率是线性的一个新证明。
It is proved that the stable commutator length of a Dehn twist in the mapping class group is positive and the tenth power of a Dehn twist about a nonseparating simple closed curve is a product of two commutators. As an application a new proof of the fact that the growth rate of a Dehn twist is linear is given.