Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Motivic concentration theorem   In this short article, given a smooth diagonalizable group scheme G of finite
type acting on a smooth quasi-compact quasi-separated scheme X, we prove that
(after inverting some elements of representation ring of G) all the information
concerning the additive invariants of the quotient stack [X/G] is
"concentrated" in the subscheme of G-fixed points X^G. Moreover, in the
particular case where G is connected and the action has finite stabilizers, we
compute the additive invariants of [X/G] using solely the subgroups of roots of
unity of G. As an application, we establish a Lefschtez-Riemann-Roch formula
for the computation of the additive invariants of proper push-forwards.

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The categories of this paper are: q-bio
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The categories of this paper are: q-alg
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The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: adap-org
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The categories of this paper are: hep-th
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The categories of this paper are: eess
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: gr-qc
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The categories of this paper are: nlin
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The categories of this paper are: quant-ph
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The categories of this paper are: chao-dyn