On the Lie algebras associated with pure mapping class groups

R. Karoui; V. V. Vershinin

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arXiv · 0902.1183

On the Lie algebras associated with pure mapping class groups

R. Karoui·V. V. Vershinin

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Abstract

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 mapping class of a sphere is studied. A simple presentation of this Lie algebra is obtained.

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R. Karoui, V. V. Vershinin. 2009-02-06. On the Lie algebras associated with pure mapping class groups. https://arxiv.org/abs/0902.1183

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