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19992002
most citedThe Chiral de Rham Complex and Positivity of the Equivariant Signature of the Loop Space

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math.AG2000

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.

math.AG2000

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…

math.AG2000

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.

math.AG1999

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…

math.AG1999

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…