Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An introduction to equivariant cohomology and homology, following
  Goresky, Kottwitz, and MacPherson   This paper provides an introduction to equivariant cohomology and homology
using the approach of Goresky, Kottwitz, and MacPherson. When a group G acts
suitably on a variety X, the equivariant cohomology of X can be computed using
the combinatorial data of a skeleton of G-orbits on X. We give both a geometric
definition and the traditional definition of equivariant cohomology. We include
a discussion of the moment map and an algorithm for finding a set of generators
for the equivariant cohomology of X. Many examples and explicit calculations
are provided.

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The categories of this paper are: patt-sol
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The categories of this paper are: atom-ph
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The categories of this paper are: adap-org
34
The categories of this paper are: chem-ph
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The categories of this paper are: econ
36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
14
The categories of this paper are: math-ph
27
The categories of this paper are: comp-gas
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The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat
30
The categories of this paper are: q-alg
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The categories of this paper are: ao-sci
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The categories of this paper are: funct-an
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The categories of this paper are: nucl-ex
1
The categories of this paper are: cs