English

On the Lie algebras associated with pure mapping class groups

Algebraic Topology 2012-02-21 v1 Group Theory

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.

Keywords

Cite

@article{arxiv.0902.1183,
  title  = {On the Lie algebras associated with pure mapping class groups},
  author = {R. Karoui and V. V. Vershinin},
  journal= {arXiv preprint arXiv:0902.1183},
  year   = {2012}
}

Comments

7 pages

R2 v1 2026-06-21T12:08:48.458Z