超椭圆Torelli群的分解
Factoring in the hyperelliptic Torelli group
摘要：
超椭圆托雷利群是映射类群的子群，它由平凡地作用于曲面的同调的元素组成，并且也与某些固定的超椭圆对合交换。作者和Putman证明了这个群是由Dehn twists关于由超椭圆对合固定的分离曲线生成的。在本文中，我们介绍了一种算法的方法，分解成这样的Dehn扭曲的超椭圆Torelli群的广泛的一类元素，并将我们的方法应用到几个基本元素。
英文摘要：
The hyperelliptic Torelli group is the subgroup of the mapping class group consisting of elements that act trivially on the homology of the surface and that also commute with some fixed hyperelliptic involution. The authors and Putman proved that this group is generated by Dehn twists about separating curves fixed by the hyperelliptic involution. In this paper, we introduce an algorithmic approach to factoring a wide class of elements of the hyperelliptic Torelli group into such Dehn twists, and apply our methods to several basic elements.
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