Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Remark on the Localization formulas about two Killing vector fields   In this article, we will discuss a localization formulas of equivariant
cohomology about two Killing vector fields on the set of zero points
${\rm{Zero}}(X_{M}-\sqrt{-1}Y_{M})=\{x\in M \mid |Y_{M}(x)|=|X_{M}(x)|=0 \}.$
As application, we use it to get formulas about characteristic numbers and to
get a Duistermaat-Heckman type formula on symplectic manifold.

37
The categories of this paper are: supr-con
13
The categories of this paper are: quant-ph
28
The categories of this paper are: alg-geom
30
The categories of this paper are: q-alg
1
The categories of this paper are: cs
14
The categories of this paper are: math-ph
26
The categories of this paper are: bayes-an
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The categories of this paper are: comp-gas
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The categories of this paper are: eess
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The categories of this paper are: cmp-lg
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The categories of this paper are: atom-ph
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The categories of this paper are: plasm-ph
12
The categories of this paper are: nucl-th
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The categories of this paper are: nucl-ex
22
The categories of this paper are: chao-dyn
0
The categories of this paper are: hep-ph