8 papers · 1 filter
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…
Vertex algebras and elliptic genera
Vadim Schechtman
A report at Arbeitstagung, June 1999, Bonn, on the joint work with V.Gorbounov, F.Malikov and A.Vaintrob.
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…