Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Traces and Characteristic Classes in Infinite Dimensions   This paper surveys topological results obtained from characteristic classes
built from the two types of traces on the algebra of pseudodifferential
operators of nonpositive order. The main results are the construction of a
universal $\hat A$-polynomial and Chern character that control the $S^1$-index
theorem for all circle actions on a fixed vector bundle over a manifold, and
$|\pi_1({\rm Diff}(M^5))| = \infty$, for ${\rm Diff}(M^5)$ the diffeomorphism
group of circle bundles $M^5$ with large first Chern class over projective
algebraic Kaehler surfaces.

32
The categories of this paper are: atom-ph
35
The categories of this paper are: mtrl-th
27
The categories of this paper are: comp-gas
25
The categories of this paper are: patt-sol
4
The categories of this paper are: cond-mat
7
The categories of this paper are: hep-th
23
The categories of this paper are: solv-int
37
The categories of this paper are: supr-con
28
The categories of this paper are: alg-geom
12
The categories of this paper are: nucl-th
1
The categories of this paper are: cs
34
The categories of this paper are: chem-ph
19
The categories of this paper are: eess
14
The categories of this paper are: math-ph
17
The categories of this paper are: q-fin
15
The categories of this paper are: nucl-ex