Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Some geometric equivariant cohomology theories   In this paper we give a geometric construction of the Borel equivariant
(co)homology for spaces with a $G$-action, where $G$ is a compact Lie group
with the property that the adjoint representation is orientable. A nice feature
of these constructions is that there are corresponding Poincar\'e dual
(co)homology theories called backwards (co)homology. This gives rise to a third
relative (co)homology theory which we call stratifold Tate (co)homology. These
Tate groups agree with the original definition of Tate cohomology for finite
groups given by Swan. All constructions in this paper are geometric and use
stratifolds. One advantage of this description is that elements in these groups
can be described concretely by representatives. We give some examples of that.

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The categories of this paper are: acc-phys
36
The categories of this paper are: cmp-lg
12
The categories of this paper are: nucl-th
4
The categories of this paper are: cond-mat
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-lat
10
The categories of this paper are: q-bio
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The categories of this paper are: eess
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The categories of this paper are: funct-an
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The categories of this paper are: mtrl-th
0
The categories of this paper are: hep-ph
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The categories of this paper are: solv-int
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The categories of this paper are: econ
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The categories of this paper are: hep-th
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The categories of this paper are: math-ph
31
The categories of this paper are: ao-sci