25 citations · 53 across the 7 of their papers we have counts for
7 papers
Asymptotically rigid mapping class groups and Thompson's groups
Louis Funar, Christophe Kapoudjian, 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 exten…
The braided Ptolemy-Thompson group is asynchronously combable
Louis Funar, Christophe Kapoudjian
The braided Ptolemy-Thompson group is an extension of the Thompson group by the full braid group on infinitely many strands. This group is a simplified versi…
The braided Ptolemy-Thompson group is finitely presented
Louis Funar, Christophe Kapoudjian
Pursueing our investigations on the relations between Thompson groups and mapping class groups, we introduce the group (and its further generalizations) which is an extension…
An infinite genus mapping class group and stable cohomology
Louis Funar, Christophe Kapoudjian
We exhibit a finitely generated group $\M$ whose rational homology is isomorphic to the rational stable homology of the mapping class group. It is defined as a mapping class group…
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…
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…