Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A note on the $\hat A$-genus for $\pi_2$-finite manifolds with
  $S^1$-symmetry   We construct examples of $S^1$-manifolds with finite second homotopy group
and non-vanishing $\hat A$-genus. This is related to the classification of
positive quaternionic Kaehler manifolds.

6
The categories of this paper are: astro-ph
9
The categories of this paper are: nlin
34
The categories of this paper are: chem-ph
26
The categories of this paper are: bayes-an
12
The categories of this paper are: nucl-th
10
The categories of this paper are: q-bio
28
The categories of this paper are: alg-geom
33
The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex
22
The categories of this paper are: chao-dyn
36
The categories of this paper are: cmp-lg
4
The categories of this paper are: cond-mat
20
The categories of this paper are: acc-phys
19
The categories of this paper are: eess
37
The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph