101 citations · 968 across the 80 of their papers we have counts for
5 papers · 1 filter
A tale of three homotopies
Vladimir Dotsenko, Norbert Poncin
For a Koszul operad , there are several existing approaches to the notion of a homotopy between homotopy morphisms of homotopy -algebras. Some of those ap…
Two more solutions for the parafermionic chiral algebra Z_{3} with the dimension of the principal parafermionic fields, psi(z), psi^{+}(z), Delta_{psi}=8/3
Vladimir S. Dotsenko
In this paper, which is the second one in a series of two papers, we shall present two more solutions, non-minimal ones, for the Z_{3} parafermionic chiral algebra with Delta_{psi}…
De Rham cohomology and homotopy Frobenius manifolds
Vladimir Dotsenko, Sergey Shadrin, Bruno Vallette
We endow the de Rham cohomology of any Poisson or Jacobi manifold with a natural homotopy Frobenius manifold structure. This result relies on a minimal model theorem for multicompl…
Parafermionic chiral algebra Z_{3} with the dimension of the principal parafermion fields psi(z), psi^{+}(z), Delta_{psi}=8/3
Vladimir S. Dotsenko
We analyze, and prove, the associativity of the new Z_{3} parafermionic chiral algebra which has been announced some time ago, with principal parafermionic fields having the confor…
Higher Koszul duality for associative algebras
Vladimir Dotsenko, Bruno Vallette
We present a unifying framework for the key concepts and results of higher Koszul duality theory for N-homogeneous algebras: the Koszul complex, the candidate for the space of syzy…