14 citations · 14 across the 2 of their papers we have counts for
3 papers
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…
math.GR2000
From symmetries of the modular tower of genus zero real stable curves to an Euler class for the dyadic circle
Christophe Kapoudjian
We build actions of Thompson group V (related to the Cantor set) and of the so-called "spheromorphism" group of Neretin, on "towers" of moduli spaces of genus zero real stable curv…