arXiv 1007.30152010-07math.QAmath.AT

Chiral equivariant cohomology of a point: a first look

Andrew R. Linshaw

备注：: A few corrections, final version
发表信息：: Commun.Math.Phys.306:381-417,2011
DOI：: 10.1007/s00220-011-1284-z

英文摘要：

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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