On rational Drinfeld associators
Quantum Algebra
2010-09-07 v3
Abstract
We prove an estimate on denominators of rational Drinfeld associators. To obtain this result, we prove the corresponding estimate for the p-adic associators stable under the action of suitable elements of Gal(\bar{Q}/Q). As an application, we settle in the positive Duflo's question on the Kashiwara--Vergne factorizations of the Jacobson element J_p(x,y)=(x+y)^p-x^p-y^p in the free Lie algebra over a field of characteristic p. Another application is a new estimate on denominators of the Kontsevich knot invariant.
Cite
@article{arxiv.1002.2331,
title = {On rational Drinfeld associators},
author = {Anton Alekseev and Masha Podkopaeva and Pavol Severa},
journal= {arXiv preprint arXiv:1002.2331},
year = {2010}
}
Comments
16 pages; v2: new section on Kontsevich knot invariant; v3: new Theorem 3.1 on construction of associators out of elements of GT