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math.AT2009★ 1 cited
On the Lie algebras of surface pure braid groups
B. Enriquez, V. V. Vershinin
We consider the Lie algebra associated with the descending central series filtration of the pure braid group of a closed surface of arbitrary genus. R. Bezrukavnikov gave a present…
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…