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Asymptotically rigid mapping class groups and Thompson's groups

By Louis Funar, Christophe Kapoudjian and Vlad Sergiescu


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.Comment: survey 77

Topics: Mathematics - Group Theory, Mathematics - Geometric Topology, 57 M 07, 20 F 36, 20 F 38, 57 N 05
Year: 2011
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