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Moscow Mathematical Journal, 2012, Volume 12, Number 4, Pages 803–824
DOI: https://doi.org/10.17323/1609-4514-2012-12-4-803-824 (Mi mmj483) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On topologies on Malcev completions of braid groups

Yury Neretinabc

a Math. Dept., University of Vienna, Nordbergstrasse, 15, Vienna, Austria
b Institute for Theoretical and Experimental Physics, Bolshaya Cheremushkinskaya, 25, Moscow 117259, Russia
c Mech. Math. Dept., Moscow State University, Vorob’evy Gory, Moscow
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DOI: https://doi.org/10.17323/1609-4514-2012-12-4-803-824
Abstract: 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 $\mathbb{R}^3$ and to groups of symplectomorphisms of coadjoint orbits of $\mathrm{SU}(n)$.
Key words and phrases: Braid groups, enveloping algebras, Malcev completion, Knizhnik–Zamolodchikov connections, polygonal curves.
Received: May 14, 2010
Bibliographic databases:
Document Type: Article
MSC: 20F36, 20F18, 17B65, 22E65, 58F05
Language: English
Citation: Yury Neretin, “On topologies on Malcev completions of braid groups”, Mosc. Math. J., 12:4 (2012), 803–824
Citation in format AMSBIB
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\by Yury~Neretin
\paper On topologies on Malcev completions of braid~groups
\jour Mosc. Math.~J.
\yr 2012
\vol 12
\issue 4
\pages 803--824
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\crossref{https://doi.org/10.17323/1609-4514-2012-12-4-803-824}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3076857}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000314341500009}
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    • This publication is cited in the following 1 articles:
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