101 citations · 968 across the 80 of their papers we have counts for
83 papers
Nilpotence, weak nilpotence, and the nil property in the nonassociative world: computations and conjectures
Vladimir Dotsenko
We present some results, both rigorously mathematical and computational, showing unexpected relations between different identities expressing nilpotence in nonassociative algebras,…
Identities for deformation quantizations of almost Poisson algebras
Vladimir Dotsenko
We propose an algebraic viewpoint of the problem of deformation quantization of the so called almost Poisson algebras, which are algebras with a commutative associative product and…
Fine structures inside the PreLie operad revisited
Vladimir Dotsenko
We prove a conjecture of Chapoton from 2010 stating that the pre-Lie operad, as a Lie algebra in the symmetric monoidal category of linear species, is freely generated by the free…
Correlation function for the punctual state of the fermion string in the space of dimension D=10
Vladimir S. Dotsenko
Correlation function is defined and calculated for the punctual states of the fermion supersymmetric string (N=1), in its critical dimension D=10.
Maurer-Cartan methods in deformation theory: the twisting procedure
Vladimir Dotsenko, Sergey Shadrin, Bruno Vallette
This monograph provides an overview on the Maurer-Cartan methods in algebra, geometry, topology, and mathematical physics. It offers a conceptual, exhaustive and gentle treatment o…
Reconnectads
Vladimir Dotsenko, Adam Keilthy, Denis Lyskov
We introduce a new operad-like structure that we call a reconnectad; the ``input'' of an element of a reconnectad is a finite simple graph, rather than a finite set, and ``composit…