Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nonabelian localization in equivariant K-theory and Riemann-Roch for
  quotients   We prove a localization formula in equivariant algebraic $K$-theory for an
arbitrary complex algebraic group acting with finite stabilizer on a smooth
algebraic space. This extends to non-diagonalizable groups the localization
formulas H.A. Nielsen in equivariant $K$-theory of vector bundles and R.W.
Thomason for higher $K$-theory of equivariant coherent sheaves.
  As an application we give a Riemann-Roch formula for quotients of smooth
algebraic spaces by proper group actions. This formula extends previous work of
B. Toen for stacks with quasi-projective moduli spaces and the authors for
quotients by diagonalizable groups.

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The categories of this paper are: hep-ex
29
The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
14
The categories of this paper are: math-ph
34
The categories of this paper are: chem-ph
24
The categories of this paper are: dg-ga
7
The categories of this paper are: hep-th
9
The categories of this paper are: nlin
37
The categories of this paper are: supr-con
35
The categories of this paper are: mtrl-th
19
The categories of this paper are: eess
12
The categories of this paper are: nucl-th
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The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
18
The categories of this paper are: econ
3
The categories of this paper are: physics