147 citations · 206 across the 18 of their papers we have counts for
15 papers · 1 filter
Chiral Cartan calculus
Fyodor Malikov, Vadim Schechtman, Boris Tsygan
We study the Gauss-Manin connection on the chiral de Rham complex.
Strongly Homotopy Chiral Algebroids
Fyodor Malikov
We introduce and classify the objects that appear in the title of the paper
Chiral De Rham complex over locally complete intersections
Fyodor Malikov, Vadim Schechtman
We define a version of a derived chiral De Rham complex over a locally complete intersection, thereby "chiralizing" a result by Illusie and Bhatt. A similar construction attaches t…
Chiral differential operators on abelian varieties
Fyodor Malikov, Vadim Schechtman
The paper consists of two parts. In the first, we describe a way of getting from an algebra of chiral differential operators (cdo) on an abelian variety a cdo on the dual variety.…
Localization of affine W-algebras
T. Arakawa, T. Kuwabara, F. Malikov
We introduce the notion of an asymptotic algebra of chiral differential operators. We then construct, via a chiral Hamiltonian reduction, one such algebra over a resolution of the…
A chiral Borel-Weil-Bott theorem
T. Arakawa, F. Malikov
We compute the cohomology of modules over the algebra of twisted chiral differential operators over the flag manifold. This is applied to (1) finding the character of -integrabl…
Algebras of twisted chiral differential operators and affine localization of -modules
Tomoyuki Arakawa, Dmytro Chebotarov, Fyodor Malikov
We propose a notion of algebra of {\it twisted} chiral differential operators over algebraic manifolds with vanishing 1st Pontrjagin class. We show that such algebras possess famil…
Vertex Algebroids over Veronese Rings
Fyodor Malikov
We find a canonical quantization of Courant algebroids over Veronese rings. Part of our approach allows a semi-infinite cohomology interpretation, and the latter can be used to def…
On chiral differential operators over homogeneous spaces
Vassily Gorbounov, Fyodor Malikov, Vadim Schechtman
In this note we study algebras of chiral differential operators over an algebraic group and over homogeneous spaces where is simple and is unipotent or parabolic.
Gerbes of chiral differential operators. III
Vassily Gorbounov, Fyodor Malikov, Vadim Schechtman
This note is a sequel to "Gerbes of chiral differential operators. II", math.AG/0003170. We study gerbes of chiral differential operators acting on the exterior algebra of a v…
Gerbes of chiral differential operators. II
Vassily Gorbounov, Fyodor Malikov, Vadim Schechtman
Results of our previous note, "Gerbes of chiral differential operators" (Math. Res. Letters, 7(2000), 55-66), are discussed in the algebraic category.
Gerbes of chiral differential operators
Vassily Gorbounov, Fyodor Malikov, Vadim Schechtman
In this note we compute the cohomological obstruction to the existence of certain sheaves of vertex algebras on smooth varieties. These sheaves have been introduced and studied in…
Chiral Poincaré duality
Fyodor Malikov, Vadim Schechtman
The aim of this note is to prove the analogue of Poincaré duality in the chiral Hodge cohomology.
Chiral de Rham complex. II
Fyodor Malikov, Vadim Schechtman
This paper is a sequel to math.AG/9803041. It consists of three parts. In the first part we give certain construction of vertex algebras which includes in particular the ones appea…
Chiral de Rham complex
Fyodor Malikov, Vadim Schechtman, Arkady Vaintrob
The aim of this note is to define certain sheaves of vertex algebras on smooth manifolds. For each smooth complex algebraic (or analytic) manifold , we construct a sheaf $Ω^{ch}…