Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Pro-Chern-Schwartz-MacPherson class for DM stacks   We generalize the definition of Pro-Chern-Schwartz-MacPherson (Pro-CSM) class
of Aluffi for schemes to not necessarily proper DM stacks. The Pro-CSM class of
constructible functions on a DM stack $\cX$ can be similarly defined. In the
case that $\cX$ is proper, the Pro-CSM class of the Behrend function of $\cX$
is the same as the Chern-Schwartz-MacPherson (CSM) class for the Behrend
function. The integration of this class over $\cX$ gives rise to the weighted
Euler characteristic corresponding to the Behrend function, thus proving a
conjecture of Behrend.

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The categories of this paper are: nlin
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The categories of this paper are: hep-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: q-fin
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The categories of this paper are: chem-ph
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The categories of this paper are: solv-int
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The categories of this paper are: chao-dyn
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The categories of this paper are: supr-con
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The categories of this paper are: patt-sol
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The categories of this paper are: bayes-an
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The categories of this paper are: cond-mat
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The categories of this paper are: quant-ph
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The categories of this paper are: adap-org
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The categories of this paper are: alg-geom
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The categories of this paper are: gr-qc