Chiral equivariant cohomology of a point: a first look

Details Chiral equivariant cohomology of a point: a first look Chiral equivariant cohomology of a point: a first look

2010-07-18

arxiv.org/abs/1007.3015v4

Commun.Math.Phys.306:381-417,2011

Mathematics

Quantum Algebra

A few corrections, final version

Scientific paper

10.1007/s00220-011-1284-z

The chiral equivariant cohomology contains and generalizes the classical equivariant cohomology of a manifold M with an action of a compact Lie group G. For any simple G, there exist compact manifolds with the same classical equivariant cohomology, which can be distinguished by this invariant. When M is a point, this cohomology is an interesting conformal vertex algebra whose structure is still mysterious. In this paper, we scratch the surface of this object in the case G=SU(2).

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