38 citations · 38 across the 3 of their papers we have counts for
5 papers
The operad of anti-pre-Lie algebras and its Lie elements
Chengming Bai, Vladimir Dotsenko, Guilai Liu +1
We initiate a systematic operadic approach to anti-pre-Lie algebras. We study the operad controlling anti-pre-Lie algebras, its relationship to the operad of Novikov algebras and i…
Binomial coefficients and the operadic butterfly
Vladimir Dotsenko, Medet Jumadildayev
We prove the conjecture of Laubie on dimensions of components of two operads completing Loday's operadic butterfly diagram. For one of these operads, the dimension of the -th co…
Operads of moduli spaces of points in revisited
Vladimir Dotsenko, Eduardo Hoefel, Sergey Shadrin +1
We study the operad structure on the homology of moduli spaces of pointed rooted trees of -dimensional projective spaces, introduced by Chen, Gibney and Krashen a couple of deca…
Volume preservation of Butcher series methods from the operad viewpoint
Vladimir Dotsenko, Paul Laubie
We study a coloured operad involving rooted trees and directed cycles of rooted trees that generalizes the operad of rooted trees of Chapoton and Livernet. We describe all the rela…
Quillen homology for operads via Gröbner bases
Vladimir Dotsenko, Anton Khoroshkin
The main goal of this paper is to present a way to compute Quillen homology of operads. The key idea is to use the notion of a shuffle operad we introduced earlier; this allows to…