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math.GT2003★ 14 cited
An extension of the Burau representation to a mapping class group associated to Thompson's group T
C. Kapoudjian, V. Sergiescu
We study some aspects of the geometric representation theory of the Thompson and Neretin groups, suggested by their analogies with the diffeomorphism groups of the circle. We prove…
math.GT2002
On a universal mapping class group of genus zero
Louis Funar, Christophe Kapoudjian
The aim of this paper is to introduce a group containing the mapping class groups of all genus zero surfaces. Roughly speaking, such a group is intended to be a discrete analogue o…