3 papers
math.AT2009
On the Lie algebras associated with pure mapping class groups
R. Karoui, V. V. Vershinin
Pure braid groups and pure mapping class groups of a punctured sphere have many features in common. In the paper the graded Lie algebra of the descending central series of the pure…
math.AT2009
On the inverse mapping class monoids
R. Karoui, V. V. Vershinin
Braid groups and mapping class groups have many features in common. Similarly to the notion of inverse braid monoid inverse mapping class monoid is defined. It concerns surfaces wi…
math.AT2006
Symmetric Joins and Weighted Barycenters
Sadok Kallel, Rym Karoui
Given a space X, we study the homotopy type of the space obtained as "the union of all (n-1)-simplexes spanned by points in X". This is a space encountered in n…