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On a Universal Mapping Class Group of Genus Zero by Funar, Louis; Kapoudjian, Christophe is a scholarly article available to read on EtoBox.

What is On a Universal Mapping Class Group of Genus Zero about?

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 of the diffeomorphism group of the circle. One defines indeed a {\it universal mapping class group of genus zero}, denoted $\B$. The latter is a nontrivial extension of the Thompson group $V$ (acting on the Cantor set) by an inductive limit of pure mapping class groups of all genus zero surfaces. We prove that $\B$ is a finitely presented group, and give an explicit presentation of it.

Author

Funar, Louis; Kapoudjian, Christophe

Published

2002

Language

EN