95 citations · 300 across the 23 of their papers we have counts for
11 papers · 1 filter
On finite dimensionality of homology of subalgebras of vector fields
Boris Feigin, Alexei Kanel-Belov, Anton Khoroshkin
We show that finite tensor products of modules of tensor fields are Noetherian modules over any graded Lie subalgebra of finite codimension in the Lie algebra of polynomial vector…
On deformation quantization of quadratic Poisson structures
Anton Khoroshkin, Sergei Merkulov
We study the deformation complex of the dg wheeled properad of -graded quadratic Poisson structures and prove that it is quasi-isomorphic to the even M. Kontsevich grap…
Quadratic Algebras arising from Hopf operads generated by a single element
Anton Khoroshkin
The operads of Poisson and Gerstenhaber algebras are generated by a single binary element if we consider them as Hopf operads (i.e. as operads in the category of cocommutative coal…
PBW property for associative universal enveloping algebras over an operad
Anton Khoroshkin
Given a symmetric operad and a -algebra , the associative universal enveloping algebra is an associative algebra whose ca…
Real models for the framed little -disks operads
Anton Khoroshkin, Thomas Willwacher
We study the action of the orthogonal group on the little -disks operads. As an application we provide small models (over the reals) for the framed little -disks operads. It…
On quantizable odd Lie bialgebras
Anton Khoroshkin, Sergei Merkulov, Thomas Willwacher
Motivated by the universal obstruction to the deformation quantization of Poisson structures in infinite dimensions we introduce the notion of quantizable odd Lie bialgebra. The ma…