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On rational Drinfeld associators

Podkopaeva, Masha
Year 2010
Description 16 p.
Abstract We prove an estimate on denominators of rational Drinfeld asso- ciators. To obtain this result, we prove the corresponding estimate for the p-adic associators stable under the action of suitable elements of Gal(¯Q/Q). As an application, we settle in the positive Duflo's question on the Kashiwara– Vergne factorizations of the Jacobson element Jp(x, y) = (x + y)p − xp − yp in the free Lie algebra over a field of characteristic p. Another application is a new estimate on denominators of the Kontsevich knot invariant.
Note 16 pages; v2: new section on Kontsevich knot invariant; v3: new Theorem 3.1 on construction of associators out of elements of GT
Stable URL http://archive-ouverte.unige.ch/unige:11878
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arXiv: 1002.2331
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