Compressed Drinfeld associators

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dc.creatorKurlin, V.
dc.date2004-08-29
dc.date2004-10-18
dc.date.accessioned2026-07-07T05:11:38Z
dc.date.available2026-07-07T05:11:38Z
dc.descriptionDrinfeld 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 algbera 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 satisfy 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.
dc.description36 pages, 5 figures
dc.identifierhttps://arxiv.org/abs/math/0408398
dc.identifierhttp://arxiv.org/abs/math/0408398
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/72309
dc.subjectGeometric Topology
dc.subjectQuantum Algebra
dc.subject57M25, 57M27, 11B68, 17B01
dc.titleCompressed Drinfeld associators
dc.typetext

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