Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Analytic and algebraic indices of elliptic operators associated with
  discrete groups of quantized canonical transformations   We consider elliptic operators associated with discrete groups of quantized
canonical transformations. In order to be able to apply results from algebraic
index theory, we define the localized algebraic index of the complete symbol of
an elliptic operator. With the help of a calculus of semiclassical quantized
canonical transformations, a version of Egorov's theorem and a theorem on trace
asymptotics for semiclassical Fourier integral operators we show that the
localized analytic index and the localized algebraic index coincide. As a
corollary, we express the Fredholm index in terms of the algebraic index for a
wide class of groups, in particular, for finite extensions of Abelian groups.

8
The categories of this paper are: hep-ex
14
The categories of this paper are: math-ph
12
The categories of this paper are: nucl-th
23
The categories of this paper are: solv-int
15
The categories of this paper are: nucl-ex
32
The categories of this paper are: atom-ph
17
The categories of this paper are: q-fin
3
The categories of this paper are: physics
19
The categories of this paper are: eess
25
The categories of this paper are: patt-sol
4
The categories of this paper are: cond-mat
31
The categories of this paper are: ao-sci
24
The categories of this paper are: dg-ga
13
The categories of this paper are: quant-ph
1
The categories of this paper are: cs
20
The categories of this paper are: acc-phys