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Compressed Drinfeld associators.

Kurlin, V. (2005) 'Compressed Drinfeld associators.', Journal of algebra., 292 (1). pp. 184-242.


Drinfeld associator is a key tool in computing the Kontsevich integral of knots. A Drinfeld associator is a series in two non-commuting variables, satisfying highly complicated algebraic equations—hexagon and pentagon. The logarithm of a Drinfeld associator lives in the Lie algebra L generated by the symbols a,b,c modulo [a,b]=[b,c]=[c,a]. The main result is a description of compressed associators that obey the compressed pentagon and hexagon in the quotient L/[[L,L],[L,L]]. The key ingredient is an explicit form of Campbell–Baker–Hausdorff formula in the case when all commutators commute.

Item Type:Article
Keywords:Drinfeld associator, Kontsevich integral, Zeta function, Knot, Bernoulli numbers, Campbell-Baker-Hausdorff formula, Lie algebra, Vassiliev invariants.
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Record Created:21 Sep 2007
Last Modified:08 Apr 2010 16:37

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