Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Chiral Equivariant Cohomology III   This is the third of a series of papers on a new equivariant cohomology that
takes values in a vertex algebra, and contains and generalizes the classical
equivariant cohomology of a manifold with a Lie group action a la H. Cartan. In
this paper, we compute this cohomology for spheres and show that for any simple
connected group G, there is a sphere with infinitely many actions of G which
have distinct chiral equivariant cohomology, but identical classical
equivariant cohomology. Unlike the classical case, the description of the
chiral equivariant cohomology of spheres requires a substantial amount of new
structural theory, which we fully develop in this paper. This includes a
quasi-conformal structure, equivariant homotopy invariance, and the values of
this cohomology on homogeneous spaces. These results rely on crucial features
of the underlying vertex algebra valued complex that have no classical
analogues.

19
The categories of this paper are: eess
32
The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph
3
The categories of this paper are: physics
34
The categories of this paper are: chem-ph
26
The categories of this paper are: bayes-an
14
The categories of this paper are: math-ph
30
The categories of this paper are: q-alg
13
The categories of this paper are: quant-ph
28
The categories of this paper are: alg-geom
31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th
29
The categories of this paper are: funct-an
16
The categories of this paper are: stat
33
The categories of this paper are: plasm-ph
35
The categories of this paper are: mtrl-th