Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Generalized orbifold Euler characteristics on the Grothendieck ring of
  varieties with actions of finite groups   The notion of the orbifold Euler characteristic came from physics at the end
of 80's. There were defined higher order versions of the orbifold Euler
characteristic and generalized ("motivic") versions of them. In a previous
paper the authors defined a notion of the Grothendieck ring $K_0^{\rm
fGr}(Var)$ of varieties with actions of finite groups on which the orbifold
Euler characteristic and its higher order versions are homomorphisms to the
ring of integers. Here we define the generalized orbifold Euler characteristic
and higher order versions of it as ring homomorphisms from $K_0^{\rm fGr}(Var)$
to the Grothendieck ring $K_0(Var)$ of complex quasi-projective varieties and
give some analogues of the classical Macdonald equations for the generating
series of the Euler characteristics of the symmetric products of a space.

27
The categories of this paper are: comp-gas
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The categories of this paper are: q-alg
33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
28
The categories of this paper are: alg-geom
19
The categories of this paper are: eess
20
The categories of this paper are: acc-phys
37
The categories of this paper are: supr-con
12
The categories of this paper are: nucl-th
5
The categories of this paper are: gr-qc
25
The categories of this paper are: patt-sol
10
The categories of this paper are: q-bio
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The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
26
The categories of this paper are: bayes-an
14
The categories of this paper are: math-ph