On the Lie algebras associated with pure mapping class groups

Details On the Lie algebras associated with pure mapping class groups On the Lie algebras associated with pure mapping class groups

2009-02-06

arxiv.org/abs/0902.1183v1

Comm. Algebra. 39 (2011), Issue 7, 2290-2298

Mathematics

Algebraic Topology

7 pages

Scientific paper

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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