Asymptotically rigid mapping class groups and Thompson's groups

Details Asymptotically rigid mapping class groups and Thompson's groups Asymptotically rigid mapping class groups and Thompson's groups

2011-05-03

arxiv.org/abs/1105.0559v1

Mathematics

Group Theory

survey 77p

Scientific paper

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.

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