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arXiv · 0902.1963

On the Lie algebras of surface pure braid groups

B. Enriquez·V. V. Vershinin
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Abstract

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 presentation of this Lie algebra over the rational numbers. We show that his presentation remains true for this Lie algebra itself, i.e. over integers.

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B. Enriquez, V. V. Vershinin. 2009-02-11. On the Lie algebras of surface pure braid groups. https://arxiv.org/abs/0902.1963

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