Chiral Equivariant Cohomology I

  title={Chiral Equivariant Cohomology I},
  author={Bong H. Lian and Andrew R. Linshaw and H. Cartan},
We construct a new equivariant cohomology theory for a certain class of differential vertex algebras, which we call the chiral equivariant cohomology. A principal example of a differential vertex algebra in this class is the chiral de Rham complex of Malikov-Schechtman-Vaintrob of a manifold with group action. The main idea in this paper is to synthesize the algebraic approach to classical equivariant cohomology due to H. Cartan, with the theory of differential vertex algebras, by using an… CONTINUE READING


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