On presentations of surface braid groups

By P. Bellingeri. 2001

109 citations recorded by the source corpus.

Abstract We give presentations of braid groups and pure braid groups on surfaces and we show some properties of surface pure braid groups.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/e9f423bb8b8fb71ae552f41bbd0c1e38267578bc

How researchers see this paper

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In Geometry and Topology

1. Anton Mellit
2. Junliang Shen
3. Davesh Maulik

In Mathematical Physics

1. Anton Mellit
2. Junliang Shen
3. Davesh Maulik

Citations in the corpus

• Toric braids and (m,n)-parking functions (2016, background): “i upwards and to the right around the other points, then downwards around the torus, then to the left around the other points to the original location. After minor modifications, we have: Theorem 5.1 ([Bel04]7). For k= 1 the group B k(T 0) is the free group generated by y 1 and z 1. For k>1 it is ”