UNIGE document Preprint
previous document  unige:12024  next document
add to browser collection
Title

Drinfeld associators, braid groups and explicit solutions of the Kashiwara-Vergne equations

Authors
Enriquez, B.
Torossian, Charles
Year 2009
Abstract The Kashiwara-Vergne (KV) conjecture states the existence of solutions of a pair of equations related with the Campbell-Baker-Hausdorff series. It was solved by Meinrenken and the first author over the real numbers, and in a formal version, by the first and last authors over a field of characteristic 0. In this paper, we give a simple and explicit formula for a map from the set of Drinfeld associators to the set of solutions of the formal KV equations. Both sets are torsors under the actions of prounipotent groups, and we show that this map is a morphism of torsors. When specialized to the KZ associator, our construction yields a solution over the reals of the original KV conjecture.
Note 3 figures
Stable URL http://archive-ouverte.unige.ch/unige:12024
Full text
Article (Preprint) (493 Kb) - public document Free access
Identifiers
Structures

178 hits

50 downloads

Update

Deposited on : 2010-10-04

Export document
Format :
Citation style :