Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Motivic vanishing cycles as a motivic measure   We show that the motivic vanishing cycles introduced by J. Denef and F.
Loeser give rise to a motivic measure on the Grothendieck ring of varieties
over the affine line. We discuss the relation of this motivic measure to the
motivic measure we constructed earlier using categories of matrix
factorizations.

18
The categories of this paper are: econ
32
The categories of this paper are: atom-ph
12
The categories of this paper are: nucl-th
20
The categories of this paper are: acc-phys
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The categories of this paper are: cmp-lg
37
The categories of this paper are: supr-con
3
The categories of this paper are: physics
27
The categories of this paper are: comp-gas
5
The categories of this paper are: gr-qc
33
The categories of this paper are: plasm-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: adap-org
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The categories of this paper are: bayes-an
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The categories of this paper are: chem-ph
29
The categories of this paper are: funct-an
4
The categories of this paper are: cond-mat