Asymptotically rigid mapping class groups and Thompson's groups
Asymptotically rigid mapping class groups and Thompson's groups
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渐近刚性映射类群和 Thompson 群
DOI：
10.4171/103-1/11
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发表时间：
2011
影响因子：
0.8
通讯作者：
V. Sergiescu
中科院分区：
文献类型：
--
作者：
L. Funar;C. Kapoudjian;V. Sergiescu
本文从无限型曲面的映射类群的角度考虑Thompson群。这个观点将我们引向辫子汤普森群，它是汤普森群通过无限（球形）辫子群的扩展。我们将概述这些群的主要特征和Teichm\“uller空间量子化的一些应用。本章介绍了这个主题，重点介绍了作者的一些结果。
We consider Thompson's groups from the perspective of mapping class groups of surfaces of infinite type. This point of view leads us to the braided Thompson groups, which are extensions of Thompson's groups by infinite (spherical) braid groups. We will outline the main features of these groups and some applications to the quantization of Teichm\"uller spaces. The chapter provides an introduction to the subject with an emphasis on some of the authors results.