WebJan 1, 2011 · Drinfeld associators were defined in [6] and play an important role in many fields. of mathematics, including number theory (for r ecent developments, see [11]), low- WebWe construct a family of Drinfeld associators interpolating between the Knizhnik-Zamolodchikov associator, the Alekseev-Torossian associator and the anti-Knizhnik-Zamolodchikov associator.

(PDF) Grothendieck-Teichmueller group, operads and graph

WebFeb 20, 2024 · $\begingroup$ On the other direction, categorical objects (Drinfeld associators) have been constructed using differential equations (the Knizhnik–Zamolodchikov equation). $\endgroup$ – Nicolas Hemelsoet. Feb 20, 2024 at 10:19 $\begingroup$ @NicolasHemelsoet that sounds interesting. WebCyclotomic associators and finite type invariants for tangles in the solid torus. Algebraic & Geometric Topology, Vol. 13, Issue. 6, p. 3365. ... Kontsevich’s integral, work by Drinfeld, more stuff on the Kontsevich integral, material on braids, and more. The book closes with a chapter on '[t]he space of all knots'. It’s very, very ... pinhead oats sainsbury\u0027s

Kontsevich Deformation Quantization and Flat Connections

WebAug 28, 2013 · It is known that one can associate a Kontsevich-type formality morphism to every Drinfeld associator. We show that this morphism may be extended to a Kontsevich-Shoikhet formality morphism of cochains and chains, by describing the action of the Grothendieck-Teichm\"uller group on such objects (up to homotopy). WebarXiv:math/0204346v1 [math.QA] 30 Apr 2002 The Drinfeld associator of gl(1 1) Jens Lieberum Mathematisches Institut, Rheinsprung 21, CH-4051 Basel, [email protected] Abstrac WebApr 15, 2024 · -point in the set of Drinfeld associators associated to the curve in the already know cases. Initially , Grothendieck-Teic hm¨ uller groups and asso ciators … pilot shooting