Parametrized braid groups of Chevalley groups.
PBW-bases of quantum groups.
Presentations for the punctured mapping class groups in terms of Artin groups.
Presentations of surface braid groups by graphs
We extend and generalise Sergiescu's results on planar graphs and presentations for the braid group Bₙ to other topological generalisations of Bₙ.
Pure braid subgroups of braided Thompson's groups.
Pure virtual braids homotopic to the identity braid
Two virtual link diagrams are homotopic if one may be transformed into the other by a sequence of virtual Reidemeister moves, classical Reidemeister moves, and self crossing changes. We recall the pure virtual braid group. We then describe the set of pure virtual braids that are homotopic to the identity braid.