3 papers
math.GR2019
Abelian quandles and quandles with abelian structure group
Victoria Lebed, Arnaud Mortier
Sets with a self-distributive operation (in the sense of , in particular quandles, app…
math.GT2018
A Kontsevich integral of order 1
Arnaud Mortier
We define a 1-cocycle in the space of long knots that is a natural generalization of the Kontsevich integral seen as a 0-cocycle. It involves a 2-form that generalizes the Knizhnik…
math.GR2017
A translation of A.A.Vinogradov's "On the free product of ordered groups"
Victoria Lebed, Arnaud Mortier
This is a translation from Russian of the article by A.A.Vinogradov: On the free product of ordered groups, Mat. Sb. (N.S.), 1949, Volume 25(67), Number 1, 163-168. The main result…