On topologies on Lie braid groups

Yury A. Neretin
Arxiv ID: 1006.1101Last updated: 6/24/2021
We discuss groups corresponding to Kohno Lie algebra of infinitesimal braids and actions of such groups. We construct homomorphisms of Lie braid groups to the group of symplectomorphisms of the space of point configurations in $R^3$ and to groups of symplectomorphisms of coadjoint orbits of SU(n).

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